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Finding the Fourth Proportional to 650,437.74, 974,645.16 and 451,147.50

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Solution

The fourth proportional to 650,437.74, 974,645.16 and 451,147.50 is: 676,019.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,437.74 : 974,645.16 = 451,147.50 : x
  2. Step 2: Convert to fraction form
    650,437.74/974,645.16 = 451,147.50/x
  3. Step 3: Cross multiply
    650,437.74x = 974,645.16 × 451,147.50
  4. Step 4: Simplify right side
    650,437.74x = 439,708,727,321.10
  5. Step 5: Solve for x
    x = 439,708,727,321.10/650,437.74
  6. Step 6: Final answer
    x = 676,019.70

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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.