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Finding the Fourth Proportional to 541,232.24, 811,931.40 and 392,594.84

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Solution

The fourth proportional to 541,232.24, 811,931.40 and 392,594.84 is: 588,952.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,232.24 : 811,931.40 = 392,594.84 : x
  2. Step 2: Convert to fraction form
    541,232.24/811,931.40 = 392,594.84/x
  3. Step 3: Cross multiply
    541,232.24x = 811,931.40 × 392,594.84
  4. Step 4: Simplify right side
    541,232.24x = 318,760,078,073.98
  5. Step 5: Solve for x
    x = 318,760,078,073.98/541,232.24
  6. Step 6: Final answer
    x = 588,952.49

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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.