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Finding the Fourth Proportional to 538,702.96, 807,976.68 and 164,625.52

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Solution

The fourth proportional to 538,702.96, 807,976.68 and 164,625.52 is: 246,914.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,702.96 : 807,976.68 = 164,625.52 : x
  2. Step 2: Convert to fraction form
    538,702.96/807,976.68 = 164,625.52/x
  3. Step 3: Cross multiply
    538,702.96x = 807,976.68 × 164,625.52
  4. Step 4: Simplify right side
    538,702.96x = 133,013,581,092.87
  5. Step 5: Solve for x
    x = 133,013,581,092.87/538,702.96
  6. Step 6: Final answer
    x = 246,914.52

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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.