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Finding the Fourth Proportional to 415,958.31, 574,022.43 and 224,971.65

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Solution

The fourth proportional to 415,958.31, 574,022.43 and 224,971.65 is: 310,460.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,958.31 : 574,022.43 = 224,971.65 : x
  2. Step 2: Convert to fraction form
    415,958.31/574,022.43 = 224,971.65/x
  3. Step 3: Cross multiply
    415,958.31x = 574,022.43 × 224,971.65
  4. Step 4: Simplify right side
    415,958.31x = 129,138,773,214.11
  5. Step 5: Solve for x
    x = 129,138,773,214.11/415,958.31
  6. Step 6: Final answer
    x = 310,460.86

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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.