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Finding the Fourth Proportional to 463,136.36, 694,691.58 and 147,612.20

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Solution

The fourth proportional to 463,136.36, 694,691.58 and 147,612.20 is: 221,414.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,136.36 : 694,691.58 = 147,612.20 : x
  2. Step 2: Convert to fraction form
    463,136.36/694,691.58 = 147,612.20/x
  3. Step 3: Cross multiply
    463,136.36x = 694,691.58 × 147,612.20
  4. Step 4: Simplify right side
    463,136.36x = 102,544,952,445.28
  5. Step 5: Solve for x
    x = 102,544,952,445.28/463,136.36
  6. Step 6: Final answer
    x = 221,414.17

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1.5x scale

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.