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Finding the Fourth Proportional to 283,008.57, 424,586.61 and 83,322.42

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Solution

The fourth proportional to 283,008.57, 424,586.61 and 83,322.42 is: 125,005.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,008.57 : 424,586.61 = 83,322.42 : x
  2. Step 2: Convert to fraction form
    283,008.57/424,586.61 = 83,322.42/x
  3. Step 3: Cross multiply
    283,008.57x = 424,586.61 × 83,322.42
  4. Step 4: Simplify right side
    283,008.57x = 35,377,583,844.80
  5. Step 5: Solve for x
    x = 35,377,583,844.80/283,008.57
  6. Step 6: Final answer
    x = 125,005.34

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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.