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Finding the Fourth Proportional to 415,224.68, 573,011.92 and 233,939.38

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Solution

The fourth proportional to 415,224.68, 573,011.92 and 233,939.38 is: 322,837.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,224.68 : 573,011.92 = 233,939.38 : x
  2. Step 2: Convert to fraction form
    415,224.68/573,011.92 = 233,939.38/x
  3. Step 3: Cross multiply
    415,224.68x = 573,011.92 × 233,939.38
  4. Step 4: Simplify right side
    415,224.68x = 134,050,053,297.41
  5. Step 5: Solve for x
    x = 134,050,053,297.41/415,224.68
  6. Step 6: Final answer
    x = 322,837.39

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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.