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Finding the Fourth Proportional to 493,987.46, 741,043.96 and 156,907.85

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Solution

The fourth proportional to 493,987.46, 741,043.96 and 156,907.85 is: 235,381.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,987.46 : 741,043.96 = 156,907.85 : x
  2. Step 2: Convert to fraction form
    493,987.46/741,043.96 = 156,907.85/x
  3. Step 3: Cross multiply
    493,987.46x = 741,043.96 × 156,907.85
  4. Step 4: Simplify right side
    493,987.46x = 116,275,610,421.60
  5. Step 5: Solve for x
    x = 116,275,610,421.60/493,987.46
  6. Step 6: Final answer
    x = 235,381.71

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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.