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Finding the Fourth Proportional to 463,148.64, 694,372.56 and 147,423.60

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Solution

The fourth proportional to 463,148.64, 694,372.56 and 147,423.60 is: 221,023.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,148.64 : 694,372.56 = 147,423.60 : x
  2. Step 2: Convert to fraction form
    463,148.64/694,372.56 = 147,423.60/x
  3. Step 3: Cross multiply
    463,148.64x = 694,372.56 × 147,423.60
  4. Step 4: Simplify right side
    463,148.64x = 102,366,902,536.42
  5. Step 5: Solve for x
    x = 102,366,902,536.42/463,148.64
  6. Step 6: Final answer
    x = 221,023.87

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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.