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Finding the Fourth Proportional to 497,305.86, 745,963.92 and 398,096.66

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Solution

The fourth proportional to 497,305.86, 745,963.92 and 398,096.66 is: 597,149.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,305.86 : 745,963.92 = 398,096.66 : x
  2. Step 2: Convert to fraction form
    497,305.86/745,963.92 = 398,096.66/x
  3. Step 3: Cross multiply
    497,305.86x = 745,963.92 × 398,096.66
  4. Step 4: Simplify right side
    497,305.86x = 296,965,741,302.69
  5. Step 5: Solve for x
    x = 296,965,741,302.69/497,305.86
  6. Step 6: Final answer
    x = 597,149.09

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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.