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Finding the Fourth Proportional to 497,838.60, 746,660.70 and 165,414.60

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Solution

The fourth proportional to 497,838.60, 746,660.70 and 165,414.60 is: 248,089.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,838.60 : 746,660.70 = 165,414.60 : x
  2. Step 2: Convert to fraction form
    497,838.60/746,660.70 = 165,414.60/x
  3. Step 3: Cross multiply
    497,838.60x = 746,660.70 × 165,414.60
  4. Step 4: Simplify right side
    497,838.60x = 123,508,581,026.22
  5. Step 5: Solve for x
    x = 123,508,581,026.22/497,838.60
  6. Step 6: Final answer
    x = 248,089.60

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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.