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Finding the Fourth Proportional to 567,205.12, 782,759.82 and 312,572.80

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Solution

The fourth proportional to 567,205.12, 782,759.82 and 312,572.80 is: 431,359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,205.12 : 782,759.82 = 312,572.80 : x
  2. Step 2: Convert to fraction form
    567,205.12/782,759.82 = 312,572.80/x
  3. Step 3: Cross multiply
    567,205.12x = 782,759.82 × 312,572.80
  4. Step 4: Simplify right side
    567,205.12x = 244,669,428,664.90
  5. Step 5: Solve for x
    x = 244,669,428,664.90/567,205.12
  6. Step 6: Final answer
    x = 431,359.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.