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Finding the Fourth Proportional to 526,518.90, 726,593.22 and 284,800.68

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Solution

The fourth proportional to 526,518.90, 726,593.22 and 284,800.68 is: 393,023.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,518.90 : 726,593.22 = 284,800.68 : x
  2. Step 2: Convert to fraction form
    526,518.90/726,593.22 = 284,800.68/x
  3. Step 3: Cross multiply
    526,518.90x = 726,593.22 × 284,800.68
  4. Step 4: Simplify right side
    526,518.90x = 206,934,243,139.39
  5. Step 5: Solve for x
    x = 206,934,243,139.39/526,518.90
  6. Step 6: Final answer
    x = 393,023.39

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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.