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Finding the Fourth Proportional to 532,106.40, 746,815.20 and 532,106.40

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Solution

The fourth proportional to 532,106.40, 746,815.20 and 532,106.40 is: 746,815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,106.40 : 746,815.20 = 532,106.40 : x
  2. Step 2: Convert to fraction form
    532,106.40/746,815.20 = 532,106.40/x
  3. Step 3: Cross multiply
    532,106.40x = 746,815.20 × 532,106.40
  4. Step 4: Simplify right side
    532,106.40x = 397,385,147,537.28
  5. Step 5: Solve for x
    x = 397,385,147,537.28/532,106.40
  6. Step 6: Final answer
    x = 746,815.20

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.