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Finding the Fourth Proportional to 526,193.92, 726,155.52 and 299,834.56

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Solution

The fourth proportional to 526,193.92, 726,155.52 and 299,834.56 is: 413,776.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,193.92 : 726,155.52 = 299,834.56 : x
  2. Step 2: Convert to fraction form
    526,193.92/726,155.52 = 299,834.56/x
  3. Step 3: Cross multiply
    526,193.92x = 726,155.52 × 299,834.56
  4. Step 4: Simplify right side
    526,193.92x = 217,726,520,830.77
  5. Step 5: Solve for x
    x = 217,726,520,830.77/526,193.92
  6. Step 6: Final answer
    x = 413,776.20

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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.