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Finding the Fourth Proportional to 415,322.32, 573,144.82 and 224,335.71

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Solution

The fourth proportional to 415,322.32, 573,144.82 and 224,335.71 is: 309,583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,322.32 : 573,144.82 = 224,335.71 : x
  2. Step 2: Convert to fraction form
    415,322.32/573,144.82 = 224,335.71/x
  3. Step 3: Cross multiply
    415,322.32x = 573,144.82 × 224,335.71
  4. Step 4: Simplify right side
    415,322.32x = 128,576,850,127.52
  5. Step 5: Solve for x
    x = 128,576,850,127.52/415,322.32
  6. Step 6: Final answer
    x = 309,583.29

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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.