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Finding the Fourth Proportional to 497,145.40, 745,842.30 and 160,217.80

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Solution

The fourth proportional to 497,145.40, 745,842.30 and 160,217.80 is: 240,366.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,145.40 : 745,842.30 = 160,217.80 : x
  2. Step 2: Convert to fraction form
    497,145.40/745,842.30 = 160,217.80/x
  3. Step 3: Cross multiply
    497,145.40x = 745,842.30 × 160,217.80
  4. Step 4: Simplify right side
    497,145.40x = 119,497,212,452.94
  5. Step 5: Solve for x
    x = 119,497,212,452.94/497,145.40
  6. Step 6: Final answer
    x = 240,366.73

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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.