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Finding the Fourth Proportional to 497,078.70, 745,727.40 and 160,134.90

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Solution

The fourth proportional to 497,078.70, 745,727.40 and 160,134.90 is: 240,237.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,078.70 : 745,727.40 = 160,134.90 : x
  2. Step 2: Convert to fraction form
    497,078.70/745,727.40 = 160,134.90/x
  3. Step 3: Cross multiply
    497,078.70x = 745,727.40 × 160,134.90
  4. Step 4: Simplify right side
    497,078.70x = 119,416,982,626.26
  5. Step 5: Solve for x
    x = 119,416,982,626.26/497,078.70
  6. Step 6: Final answer
    x = 240,237.58

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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.