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Finding the Fourth Proportional to 283,304.71, 424,858.03 and 83,572.09

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Solution

The fourth proportional to 283,304.71, 424,858.03 and 83,572.09 is: 125,328.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,304.71 : 424,858.03 = 83,572.09 : x
  2. Step 2: Convert to fraction form
    283,304.71/424,858.03 = 83,572.09/x
  3. Step 3: Cross multiply
    283,304.71x = 424,858.03 × 83,572.09
  4. Step 4: Simplify right side
    283,304.71x = 35,506,273,520.38
  5. Step 5: Solve for x
    x = 35,506,273,520.38/283,304.71
  6. Step 6: Final answer
    x = 125,328.92

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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.