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Finding the Fourth Proportional to 282,443.90, 423,724.16 and 82,770.80

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Solution

The fourth proportional to 282,443.90, 423,724.16 and 82,770.80 is: 124,173.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,443.90 : 423,724.16 = 82,770.80 : x
  2. Step 2: Convert to fraction form
    282,443.90/423,724.16 = 82,770.80/x
  3. Step 3: Cross multiply
    282,443.90x = 423,724.16 × 82,770.80
  4. Step 4: Simplify right side
    282,443.90x = 35,071,987,702.53
  5. Step 5: Solve for x
    x = 35,071,987,702.53/282,443.90
  6. Step 6: Final answer
    x = 124,173.29

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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.