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Finding the Fourth Proportional to 471,456.97, 650,610.65 and 256,598.61

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Solution

The fourth proportional to 471,456.97, 650,610.65 and 256,598.61 is: 354,106.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,456.97 : 650,610.65 = 256,598.61 : x
  2. Step 2: Convert to fraction form
    471,456.97/650,610.65 = 256,598.61/x
  3. Step 3: Cross multiply
    471,456.97x = 650,610.65 × 256,598.61
  4. Step 4: Simplify right side
    471,456.97x = 166,945,788,441.20
  5. Step 5: Solve for x
    x = 166,945,788,441.20/471,456.97
  6. Step 6: Final answer
    x = 354,106.10

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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.