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Finding the Fourth Proportional to 497,709.60, 746,564.40 and 123,732.60

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Solution

The fourth proportional to 497,709.60, 746,564.40 and 123,732.60 is: 185,598.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,709.60 : 746,564.40 = 123,732.60 : x
  2. Step 2: Convert to fraction form
    497,709.60/746,564.40 = 123,732.60/x
  3. Step 3: Cross multiply
    497,709.60x = 746,564.40 × 123,732.60
  4. Step 4: Simplify right side
    497,709.60x = 92,374,354,279.44
  5. Step 5: Solve for x
    x = 92,374,354,279.44/497,709.60
  6. Step 6: Final answer
    x = 185,598.90

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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.