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Finding the Fourth Proportional to 974,800.20, 1,461,681.90 and 413,200.20

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Solution

The fourth proportional to 974,800.20, 1,461,681.90 and 413,200.20 is: 619,580.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,800.20 : 1,461,681.90 = 413,200.20 : x
  2. Step 2: Convert to fraction form
    974,800.20/1,461,681.90 = 413,200.20/x
  3. Step 3: Cross multiply
    974,800.20x = 1,461,681.90 × 413,200.20
  4. Step 4: Simplify right side
    974,800.20x = 603,967,253,416.38
  5. Step 5: Solve for x
    x = 603,967,253,416.38/974,800.20
  6. Step 6: Final answer
    x = 619,580.56

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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.