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Finding the Fourth Proportional to 532,828.28, 798,553.50 and 398,655.83

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Solution

The fourth proportional to 532,828.28, 798,553.50 and 398,655.83 is: 597,468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,828.28 : 798,553.50 = 398,655.83 : x
  2. Step 2: Convert to fraction form
    532,828.28/798,553.50 = 398,655.83/x
  3. Step 3: Cross multiply
    532,828.28x = 798,553.50 × 398,655.83
  4. Step 4: Simplify right side
    532,828.28x = 318,348,008,341.91
  5. Step 5: Solve for x
    x = 318,348,008,341.91/532,828.28
  6. Step 6: Final answer
    x = 597,468.30

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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.