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Finding the Fourth Proportional to 466,436.39, 698,252.94 and 417,713.90

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Solution

The fourth proportional to 466,436.39, 698,252.94 and 417,713.90 is: 625,315.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,436.39 : 698,252.94 = 417,713.90 : x
  2. Step 2: Convert to fraction form
    466,436.39/698,252.94 = 417,713.90/x
  3. Step 3: Cross multiply
    466,436.39x = 698,252.94 × 417,713.90
  4. Step 4: Simplify right side
    466,436.39x = 291,669,955,262.60
  5. Step 5: Solve for x
    x = 291,669,955,262.60/466,436.39
  6. Step 6: Final answer
    x = 625,315.62

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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.