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Finding the Fourth Proportional to 315,662, 435,610.98 and 172,422.08

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Solution

The fourth proportional to 315,662, 435,610.98 and 172,422.08 is: 237,941.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,662 : 435,610.98 = 172,422.08 : x
  2. Step 2: Convert to fraction form
    315,662/435,610.98 = 172,422.08/x
  3. Step 3: Cross multiply
    315,662x = 435,610.98 × 172,422.08
  4. Step 4: Simplify right side
    315,662x = 75,108,951,242.44
  5. Step 5: Solve for x
    x = 75,108,951,242.44/315,662
  6. Step 6: Final answer
    x = 237,941.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.