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Finding the Fourth Proportional to 463,006.32, 694,619.76 and 147,462.72

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Solution

The fourth proportional to 463,006.32, 694,619.76 and 147,462.72 is: 221,229.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,006.32 : 694,619.76 = 147,462.72 : x
  2. Step 2: Convert to fraction form
    463,006.32/694,619.76 = 147,462.72/x
  3. Step 3: Cross multiply
    463,006.32x = 694,619.76 × 147,462.72
  4. Step 4: Simplify right side
    463,006.32x = 102,430,519,175.35
  5. Step 5: Solve for x
    x = 102,430,519,175.35/463,006.32
  6. Step 6: Final answer
    x = 221,229.20

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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.