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Finding the Fourth Proportional to 537,394.78, 804,575.85 and 284,101.30

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Solution

The fourth proportional to 537,394.78, 804,575.85 and 284,101.30 is: 425,350.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,394.78 : 804,575.85 = 284,101.30 : x
  2. Step 2: Convert to fraction form
    537,394.78/804,575.85 = 284,101.30/x
  3. Step 3: Cross multiply
    537,394.78x = 804,575.85 × 284,101.30
  4. Step 4: Simplify right side
    537,394.78x = 228,581,044,933.61
  5. Step 5: Solve for x
    x = 228,581,044,933.61/537,394.78
  6. Step 6: Final answer
    x = 425,350.33

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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.