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Finding the Fourth Proportional to 497,763.40, 746,645.10 and 182,446.60

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Solution

The fourth proportional to 497,763.40, 746,645.10 and 182,446.60 is: 273,669.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,763.40 : 746,645.10 = 182,446.60 : x
  2. Step 2: Convert to fraction form
    497,763.40/746,645.10 = 182,446.60/x
  3. Step 3: Cross multiply
    497,763.40x = 746,645.10 × 182,446.60
  4. Step 4: Simplify right side
    497,763.40x = 136,222,859,901.66
  5. Step 5: Solve for x
    x = 136,222,859,901.66/497,763.40
  6. Step 6: Final answer
    x = 273,669.90

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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.