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Finding the Fourth Proportional to 552,928.25, 829,524 and 178,951.25

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Solution

The fourth proportional to 552,928.25, 829,524 and 178,951.25 is: 268,469.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,928.25 : 829,524 = 178,951.25 : x
  2. Step 2: Convert to fraction form
    552,928.25/829,524 = 178,951.25/x
  3. Step 3: Cross multiply
    552,928.25x = 829,524 × 178,951.25
  4. Step 4: Simplify right side
    552,928.25x = 148,444,356,705
  5. Step 5: Solve for x
    x = 148,444,356,705/552,928.25
  6. Step 6: Final answer
    x = 268,469.47

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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.