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Finding the Fourth Proportional to 417,083.04, 625,712.04 and 180,459.36

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Solution

The fourth proportional to 417,083.04, 625,712.04 and 180,459.36 is: 270,726.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,083.04 : 625,712.04 = 180,459.36 : x
  2. Step 2: Convert to fraction form
    417,083.04/625,712.04 = 180,459.36/x
  3. Step 3: Cross multiply
    417,083.04x = 625,712.04 × 180,459.36
  4. Step 4: Simplify right side
    417,083.04x = 112,915,594,282.69
  5. Step 5: Solve for x
    x = 112,915,594,282.69/417,083.04
  6. Step 6: Final answer
    x = 270,726.89

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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.