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Finding the Fourth Proportional to 497,882.60, 746,726.70 and 165,458.60

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Solution

The fourth proportional to 497,882.60, 746,726.70 and 165,458.60 is: 248,155.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,882.60 : 746,726.70 = 165,458.60 : x
  2. Step 2: Convert to fraction form
    497,882.60/746,726.70 = 165,458.60/x
  3. Step 3: Cross multiply
    497,882.60x = 746,726.70 × 165,458.60
  4. Step 4: Simplify right side
    497,882.60x = 123,552,354,364.62
  5. Step 5: Solve for x
    x = 123,552,354,364.62/497,882.60
  6. Step 6: Final answer
    x = 248,155.60

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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.