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Finding the Fourth Proportional to 413,423.52, 570,517.20 and 232,136.88

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Solution

The fourth proportional to 413,423.52, 570,517.20 and 232,136.88 is: 320,344.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,423.52 : 570,517.20 = 232,136.88 : x
  2. Step 2: Convert to fraction form
    413,423.52/570,517.20 = 232,136.88/x
  3. Step 3: Cross multiply
    413,423.52x = 570,517.20 × 232,136.88
  4. Step 4: Simplify right side
    413,423.52x = 132,438,082,794.34
  5. Step 5: Solve for x
    x = 132,438,082,794.34/413,423.52
  6. Step 6: Final answer
    x = 320,344.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.