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Finding the Fourth Proportional to 468,702.72, 703,086.96 and 188,220

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Solution

The fourth proportional to 468,702.72, 703,086.96 and 188,220 is: 282,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,702.72 : 703,086.96 = 188,220 : x
  2. Step 2: Convert to fraction form
    468,702.72/703,086.96 = 188,220/x
  3. Step 3: Cross multiply
    468,702.72x = 703,086.96 × 188,220
  4. Step 4: Simplify right side
    468,702.72x = 132,335,027,611.20
  5. Step 5: Solve for x
    x = 132,335,027,611.20/468,702.72
  6. Step 6: Final answer
    x = 282,343.20

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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.