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Finding the Fourth Proportional to 541,970.64, 746,715.12 and 357,882.30

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Solution

The fourth proportional to 541,970.64, 746,715.12 and 357,882.30 is: 493,082.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,970.64 : 746,715.12 = 357,882.30 : x
  2. Step 2: Convert to fraction form
    541,970.64/746,715.12 = 357,882.30/x
  3. Step 3: Cross multiply
    541,970.64x = 746,715.12 × 357,882.30
  4. Step 4: Simplify right side
    541,970.64x = 267,236,124,590.38
  5. Step 5: Solve for x
    x = 267,236,124,590.38/541,970.64
  6. Step 6: Final answer
    x = 493,082.29

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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.