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Finding the Fourth Proportional to 536,542.50, 803,589.03 and 256,256.58

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Solution

The fourth proportional to 536,542.50, 803,589.03 and 256,256.58 is: 383,799.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,542.50 : 803,589.03 = 256,256.58 : x
  2. Step 2: Convert to fraction form
    536,542.50/803,589.03 = 256,256.58/x
  3. Step 3: Cross multiply
    536,542.50x = 803,589.03 × 256,256.58
  4. Step 4: Simplify right side
    536,542.50x = 205,924,976,553.32
  5. Step 5: Solve for x
    x = 205,924,976,553.32/536,542.50
  6. Step 6: Final answer
    x = 383,799.93

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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.