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Finding the Fourth Proportional to 468,171.42, 646,071.96 and 253,306.77

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Solution

The fourth proportional to 468,171.42, 646,071.96 and 253,306.77 is: 349,560.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,171.42 : 646,071.96 = 253,306.77 : x
  2. Step 2: Convert to fraction form
    468,171.42/646,071.96 = 253,306.77/x
  3. Step 3: Cross multiply
    468,171.42x = 646,071.96 × 253,306.77
  4. Step 4: Simplify right side
    468,171.42x = 163,654,401,375.17
  5. Step 5: Solve for x
    x = 163,654,401,375.17/468,171.42
  6. Step 6: Final answer
    x = 349,560.85

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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.