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Finding the Fourth Proportional to 310,454.59, 428,462.84 and 172,647.26

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Solution

The fourth proportional to 310,454.59, 428,462.84 and 172,647.26 is: 238,272.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,454.59 : 428,462.84 = 172,647.26 : x
  2. Step 2: Convert to fraction form
    310,454.59/428,462.84 = 172,647.26/x
  3. Step 3: Cross multiply
    310,454.59x = 428,462.84 × 172,647.26
  4. Step 4: Simplify right side
    310,454.59x = 73,972,935,337.82
  5. Step 5: Solve for x
    x = 73,972,935,337.82/310,454.59
  6. Step 6: Final answer
    x = 238,272.96

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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.