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Finding the Fourth Proportional to 649,665.40, 974,498.10 and 492,201.40

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Solution

The fourth proportional to 649,665.40, 974,498.10 and 492,201.40 is: 738,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,665.40 : 974,498.10 = 492,201.40 : x
  2. Step 2: Convert to fraction form
    649,665.40/974,498.10 = 492,201.40/x
  3. Step 3: Cross multiply
    649,665.40x = 974,498.10 × 492,201.40
  4. Step 4: Simplify right side
    649,665.40x = 479,649,329,117.34
  5. Step 5: Solve for x
    x = 479,649,329,117.34/649,665.40
  6. Step 6: Final answer
    x = 738,302.10

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.