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Finding the Fourth Proportional to 463,108.16, 694,654.68 and 147,560.78

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Solution

The fourth proportional to 463,108.16, 694,654.68 and 147,560.78 is: 221,338.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,108.16 : 694,654.68 = 147,560.78 : x
  2. Step 2: Convert to fraction form
    463,108.16/694,654.68 = 147,560.78/x
  3. Step 3: Cross multiply
    463,108.16x = 694,654.68 × 147,560.78
  4. Step 4: Simplify right side
    463,108.16x = 102,503,786,411.45
  5. Step 5: Solve for x
    x = 102,503,786,411.45/463,108.16
  6. Step 6: Final answer
    x = 221,338.76

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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.