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Finding the Fourth Proportional to 497,910.40, 746,865.60 and 165,443.20

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Solution

The fourth proportional to 497,910.40, 746,865.60 and 165,443.20 is: 248,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,910.40 : 746,865.60 = 165,443.20 : x
  2. Step 2: Convert to fraction form
    497,910.40/746,865.60 = 165,443.20/x
  3. Step 3: Cross multiply
    497,910.40x = 746,865.60 × 165,443.20
  4. Step 4: Simplify right side
    497,910.40x = 123,563,834,833.92
  5. Step 5: Solve for x
    x = 123,563,834,833.92/497,910.40
  6. Step 6: Final answer
    x = 248,164.80

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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.