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Finding the Fourth Proportional to 503,760, 755,935.23 and 361,451.91

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Solution

The fourth proportional to 503,760, 755,935.23 and 361,451.91 is: 542,389.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,760 : 755,935.23 = 361,451.91 : x
  2. Step 2: Convert to fraction form
    503,760/755,935.23 = 361,451.91/x
  3. Step 3: Cross multiply
    503,760x = 755,935.23 × 361,451.91
  4. Step 4: Simplify right side
    503,760x = 273,234,232,719.79
  5. Step 5: Solve for x
    x = 273,234,232,719.79/503,760
  6. Step 6: Final answer
    x = 542,389.69

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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.