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Finding the Fourth Proportional to 498,536.40, 747,718.20 and 182,830.80

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Solution

The fourth proportional to 498,536.40, 747,718.20 and 182,830.80 is: 274,214.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,536.40 : 747,718.20 = 182,830.80 : x
  2. Step 2: Convert to fraction form
    498,536.40/747,718.20 = 182,830.80/x
  3. Step 3: Cross multiply
    498,536.40x = 747,718.20 × 182,830.80
  4. Step 4: Simplify right side
    498,536.40x = 136,705,916,680.56
  5. Step 5: Solve for x
    x = 136,705,916,680.56/498,536.40
  6. Step 6: Final answer
    x = 274,214.51

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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.