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Finding the Fourth Proportional to 498,609.55, 747,717.48 and 182,894.23

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Solution

The fourth proportional to 498,609.55, 747,717.48 and 182,894.23 is: 274,269.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,609.55 : 747,717.48 = 182,894.23 : x
  2. Step 2: Convert to fraction form
    498,609.55/747,717.48 = 182,894.23/x
  3. Step 3: Cross multiply
    498,609.55x = 747,717.48 × 182,894.23
  4. Step 4: Simplify right side
    498,609.55x = 136,753,212,762.14
  5. Step 5: Solve for x
    x = 136,753,212,762.14/498,609.55
  6. Step 6: Final answer
    x = 274,269.14

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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.