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Finding the Fourth Proportional to 312,572.61, 468,346.32 and 132,514.16

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Solution

The fourth proportional to 312,572.61, 468,346.32 and 132,514.16 is: 198,553.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,572.61 : 468,346.32 = 132,514.16 : x
  2. Step 2: Convert to fraction form
    312,572.61/468,346.32 = 132,514.16/x
  3. Step 3: Cross multiply
    312,572.61x = 468,346.32 × 132,514.16
  4. Step 4: Simplify right side
    312,572.61x = 62,062,516,842.16
  5. Step 5: Solve for x
    x = 62,062,516,842.16/312,572.61
  6. Step 6: Final answer
    x = 198,553.92

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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.