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Finding the Fourth Proportional to 500,233.74, 750,490.29 and 200,924.52

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Solution

The fourth proportional to 500,233.74, 750,490.29 and 200,924.52 is: 301,442.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,233.74 : 750,490.29 = 200,924.52 : x
  2. Step 2: Convert to fraction form
    500,233.74/750,490.29 = 200,924.52/x
  3. Step 3: Cross multiply
    500,233.74x = 750,490.29 × 200,924.52
  4. Step 4: Simplify right side
    500,233.74x = 150,791,901,282.91
  5. Step 5: Solve for x
    x = 150,791,901,282.91/500,233.74
  6. Step 6: Final answer
    x = 301,442.88

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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.