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Finding the Fourth Proportional to 213,909.30, 320,475.15 and 174,251.70

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Solution

The fourth proportional to 213,909.30, 320,475.15 and 174,251.70 is: 261,060.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,909.30 : 320,475.15 = 174,251.70 : x
  2. Step 2: Convert to fraction form
    213,909.30/320,475.15 = 174,251.70/x
  3. Step 3: Cross multiply
    213,909.30x = 320,475.15 × 174,251.70
  4. Step 4: Simplify right side
    213,909.30x = 55,843,339,695.26
  5. Step 5: Solve for x
    x = 55,843,339,695.26/213,909.30
  6. Step 6: Final answer
    x = 261,060.83

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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.