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Finding the Fourth Proportional to 646,869.20, 970,174.20 and 309,909.20

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Solution

The fourth proportional to 646,869.20, 970,174.20 and 309,909.20 is: 464,801.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,869.20 : 970,174.20 = 309,909.20 : x
  2. Step 2: Convert to fraction form
    646,869.20/970,174.20 = 309,909.20/x
  3. Step 3: Cross multiply
    646,869.20x = 970,174.20 × 309,909.20
  4. Step 4: Simplify right side
    646,869.20x = 300,665,910,182.64
  5. Step 5: Solve for x
    x = 300,665,910,182.64/646,869.20
  6. Step 6: Final answer
    x = 464,801.71

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1.5x scale

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.