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Finding the Fourth Proportional to 337,718.92, 506,752.78 and 148,312.20

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Solution

The fourth proportional to 337,718.92, 506,752.78 and 148,312.20 is: 222,544.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,718.92 : 506,752.78 = 148,312.20 : x
  2. Step 2: Convert to fraction form
    337,718.92/506,752.78 = 148,312.20/x
  3. Step 3: Cross multiply
    337,718.92x = 506,752.78 × 148,312.20
  4. Step 4: Simplify right side
    337,718.92x = 75,157,619,657.92
  5. Step 5: Solve for x
    x = 75,157,619,657.92/337,718.92
  6. Step 6: Final answer
    x = 222,544.89

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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.