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Finding the Fourth Proportional to 415,966.89, 574,034.19 and 224,980.23

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Solution

The fourth proportional to 415,966.89, 574,034.19 and 224,980.23 is: 310,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,966.89 : 574,034.19 = 224,980.23 : x
  2. Step 2: Convert to fraction form
    415,966.89/574,034.19 = 224,980.23/x
  3. Step 3: Cross multiply
    415,966.89x = 574,034.19 × 224,980.23
  4. Step 4: Simplify right side
    415,966.89x = 129,146,344,094.06
  5. Step 5: Solve for x
    x = 129,146,344,094.06/415,966.89
  6. Step 6: Final answer
    x = 310,472.65

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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.