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Finding the Fourth Proportional to 463,031.10, 694,546.65 and 147,519.90

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Solution

The fourth proportional to 463,031.10, 694,546.65 and 147,519.90 is: 221,279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,031.10 : 694,546.65 = 147,519.90 : x
  2. Step 2: Convert to fraction form
    463,031.10/694,546.65 = 147,519.90/x
  3. Step 3: Cross multiply
    463,031.10x = 694,546.65 × 147,519.90
  4. Step 4: Simplify right side
    463,031.10x = 102,459,452,353.34
  5. Step 5: Solve for x
    x = 102,459,452,353.34/463,031.10
  6. Step 6: Final answer
    x = 221,279.85

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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.