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Finding the Fourth Proportional to 592,397.24, 817,505.71 and 320,464.46

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Solution

The fourth proportional to 592,397.24, 817,505.71 and 320,464.46 is: 442,239.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,397.24 : 817,505.71 = 320,464.46 : x
  2. Step 2: Convert to fraction form
    592,397.24/817,505.71 = 320,464.46/x
  3. Step 3: Cross multiply
    592,397.24x = 817,505.71 × 320,464.46
  4. Step 4: Simplify right side
    592,397.24x = 261,981,521,013.38
  5. Step 5: Solve for x
    x = 261,981,521,013.38/592,397.24
  6. Step 6: Final answer
    x = 442,239.61

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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.