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Finding the Fourth Proportional to 498,713.16, 747,853.32 and 274,006.20

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Solution

The fourth proportional to 498,713.16, 747,853.32 and 274,006.20 is: 410,890.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,713.16 : 747,853.32 = 274,006.20 : x
  2. Step 2: Convert to fraction form
    498,713.16/747,853.32 = 274,006.20/x
  3. Step 3: Cross multiply
    498,713.16x = 747,853.32 × 274,006.20
  4. Step 4: Simplify right side
    498,713.16x = 204,916,446,370.58
  5. Step 5: Solve for x
    x = 204,916,446,370.58/498,713.16
  6. Step 6: Final answer
    x = 410,890.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.