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Finding the Fourth Proportional to 417,737.32, 626,618.13 and 102,194.13

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Solution

The fourth proportional to 417,737.32, 626,618.13 and 102,194.13 is: 153,294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,737.32 : 626,618.13 = 102,194.13 : x
  2. Step 2: Convert to fraction form
    417,737.32/626,618.13 = 102,194.13/x
  3. Step 3: Cross multiply
    417,737.32x = 626,618.13 × 102,194.13
  4. Step 4: Simplify right side
    417,737.32x = 64,036,694,637.58
  5. Step 5: Solve for x
    x = 64,036,694,637.58/417,737.32
  6. Step 6: Final answer
    x = 153,294.17

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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.