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Finding the Fourth Proportional to 476,101.40, 714,152.10 and 413,893.40

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Solution

The fourth proportional to 476,101.40, 714,152.10 and 413,893.40 is: 620,840.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,101.40 : 714,152.10 = 413,893.40 : x
  2. Step 2: Convert to fraction form
    476,101.40/714,152.10 = 413,893.40/x
  3. Step 3: Cross multiply
    476,101.40x = 714,152.10 × 413,893.40
  4. Step 4: Simplify right side
    476,101.40x = 295,582,840,786.14
  5. Step 5: Solve for x
    x = 295,582,840,786.14/476,101.40
  6. Step 6: Final answer
    x = 620,840.10

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.