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Finding the Fourth Proportional to 498,006.38, 687,250.98 and 271,656.74

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Solution

The fourth proportional to 498,006.38, 687,250.98 and 271,656.74 is: 374,887.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,006.38 : 687,250.98 = 271,656.74 : x
  2. Step 2: Convert to fraction form
    498,006.38/687,250.98 = 271,656.74/x
  3. Step 3: Cross multiply
    498,006.38x = 687,250.98 × 271,656.74
  4. Step 4: Simplify right side
    498,006.38x = 186,696,362,506.73
  5. Step 5: Solve for x
    x = 186,696,362,506.73/498,006.38
  6. Step 6: Final answer
    x = 374,887.49

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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.