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Finding the Fourth Proportional to 500,089.38, 690,016.77 and 296,204.10

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Solution

The fourth proportional to 500,089.38, 690,016.77 and 296,204.10 is: 408,698.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,089.38 : 690,016.77 = 296,204.10 : x
  2. Step 2: Convert to fraction form
    500,089.38/690,016.77 = 296,204.10/x
  3. Step 3: Cross multiply
    500,089.38x = 690,016.77 × 296,204.10
  4. Step 4: Simplify right side
    500,089.38x = 204,385,796,342.76
  5. Step 5: Solve for x
    x = 204,385,796,342.76/500,089.38
  6. Step 6: Final answer
    x = 408,698.53

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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.