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Finding the Fourth Proportional to 415,659.73, 573,610.11 and 224,673.12

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Solution

The fourth proportional to 415,659.73, 573,610.11 and 224,673.12 is: 310,048.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,659.73 : 573,610.11 = 224,673.12 : x
  2. Step 2: Convert to fraction form
    415,659.73/573,610.11 = 224,673.12/x
  3. Step 3: Cross multiply
    415,659.73x = 573,610.11 × 224,673.12
  4. Step 4: Simplify right side
    415,659.73x = 128,874,772,436.38
  5. Step 5: Solve for x
    x = 128,874,772,436.38/415,659.73
  6. Step 6: Final answer
    x = 310,048.73

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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.