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Finding the Fourth Proportional to 463,024.80, 694,587.02 and 147,407.90

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Solution

The fourth proportional to 463,024.80, 694,587.02 and 147,407.90 is: 221,127.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,024.80 : 694,587.02 = 147,407.90 : x
  2. Step 2: Convert to fraction form
    463,024.80/694,587.02 = 147,407.90/x
  3. Step 3: Cross multiply
    463,024.80x = 694,587.02 × 147,407.90
  4. Step 4: Simplify right side
    463,024.80x = 102,387,609,775.48
  5. Step 5: Solve for x
    x = 102,387,609,775.48/463,024.80
  6. Step 6: Final answer
    x = 221,127.70

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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.