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Finding the Fourth Proportional to 541,432.64, 747,168 and 299,710.10

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Solution

The fourth proportional to 541,432.64, 747,168 and 299,710.10 is: 413,594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,432.64 : 747,168 = 299,710.10 : x
  2. Step 2: Convert to fraction form
    541,432.64/747,168 = 299,710.10/x
  3. Step 3: Cross multiply
    541,432.64x = 747,168 × 299,710.10
  4. Step 4: Simplify right side
    541,432.64x = 223,933,795,996.80
  5. Step 5: Solve for x
    x = 223,933,795,996.80/541,432.64
  6. Step 6: Final answer
    x = 413,594.93

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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.