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Finding the Fourth Proportional to 431,514.38, 595,468.19 and 240,490.86

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Solution

The fourth proportional to 431,514.38, 595,468.19 and 240,490.86 is: 331,865.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,514.38 : 595,468.19 = 240,490.86 : x
  2. Step 2: Convert to fraction form
    431,514.38/595,468.19 = 240,490.86/x
  3. Step 3: Cross multiply
    431,514.38x = 595,468.19 × 240,490.86
  4. Step 4: Simplify right side
    431,514.38x = 143,204,655,913.29
  5. Step 5: Solve for x
    x = 143,204,655,913.29/431,514.38
  6. Step 6: Final answer
    x = 331,865.32

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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.