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Finding the Fourth Proportional to 649,497.40, 974,246.10 and 413,884.60

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Solution

The fourth proportional to 649,497.40, 974,246.10 and 413,884.60 is: 620,826.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,497.40 : 974,246.10 = 413,884.60 : x
  2. Step 2: Convert to fraction form
    649,497.40/974,246.10 = 413,884.60/x
  3. Step 3: Cross multiply
    649,497.40x = 974,246.10 × 413,884.60
  4. Step 4: Simplify right side
    649,497.40x = 403,225,457,400.06
  5. Step 5: Solve for x
    x = 403,225,457,400.06/649,497.40
  6. Step 6: Final answer
    x = 620,826.90

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