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Finding the Fourth Proportional to 471,553.75, 650,747.22 and 256,693.76

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Solution

The fourth proportional to 471,553.75, 650,747.22 and 256,693.76 is: 354,239.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,553.75 : 650,747.22 = 256,693.76 : x
  2. Step 2: Convert to fraction form
    471,553.75/650,747.22 = 256,693.76/x
  3. Step 3: Cross multiply
    471,553.75x = 650,747.22 × 256,693.76
  4. Step 4: Simplify right side
    471,553.75x = 167,042,748,935.31
  5. Step 5: Solve for x
    x = 167,042,748,935.31/471,553.75
  6. Step 6: Final answer
    x = 354,239.04

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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.