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Finding the Fourth Proportional to 283,311.46, 424,868.16 and 83,578.84

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Solution

The fourth proportional to 283,311.46, 424,868.16 and 83,578.84 is: 125,339.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,311.46 : 424,868.16 = 83,578.84 : x
  2. Step 2: Convert to fraction form
    283,311.46/424,868.16 = 83,578.84/x
  3. Step 3: Cross multiply
    283,311.46x = 424,868.16 × 83,578.84
  4. Step 4: Simplify right side
    283,311.46x = 35,509,987,965.73
  5. Step 5: Solve for x
    x = 35,509,987,965.73/283,311.46
  6. Step 6: Final answer
    x = 125,339.05

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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.