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Finding the Fourth Proportional to 417,083.29, 625,712.42 and 180,459.61

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Solution

The fourth proportional to 417,083.29, 625,712.42 and 180,459.61 is: 270,727.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,083.29 : 625,712.42 = 180,459.61 : x
  2. Step 2: Convert to fraction form
    417,083.29/625,712.42 = 180,459.61/x
  3. Step 3: Cross multiply
    417,083.29x = 625,712.42 × 180,459.61
  4. Step 4: Simplify right side
    417,083.29x = 112,915,819,285.36
  5. Step 5: Solve for x
    x = 112,915,819,285.36/417,083.29
  6. Step 6: Final answer
    x = 270,727.27

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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.