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Finding the Fourth Proportional to 283,227.57, 424,800.36 and 83,538.09

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Solution

The fourth proportional to 283,227.57, 424,800.36 and 83,538.09 is: 125,295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,227.57 : 424,800.36 = 83,538.09 : x
  2. Step 2: Convert to fraction form
    283,227.57/424,800.36 = 83,538.09/x
  3. Step 3: Cross multiply
    283,227.57x = 424,800.36 × 83,538.09
  4. Step 4: Simplify right side
    283,227.57x = 35,487,010,705.71
  5. Step 5: Solve for x
    x = 35,487,010,705.71/283,227.57
  6. Step 6: Final answer
    x = 125,295.04

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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.