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Finding the Fourth Proportional to 477,167.25, 715,732.20 and 161,624.16

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Solution

The fourth proportional to 477,167.25, 715,732.20 and 161,624.16 is: 242,429.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,167.25 : 715,732.20 = 161,624.16 : x
  2. Step 2: Convert to fraction form
    477,167.25/715,732.20 = 161,624.16/x
  3. Step 3: Cross multiply
    477,167.25x = 715,732.20 × 161,624.16
  4. Step 4: Simplify right side
    477,167.25x = 115,679,615,609.95
  5. Step 5: Solve for x
    x = 115,679,615,609.95/477,167.25
  6. Step 6: Final answer
    x = 242,429.91

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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.