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Finding the Fourth Proportional to 482,971.80, 724,425.30 and 127,978.20

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Solution

The fourth proportional to 482,971.80, 724,425.30 and 127,978.20 is: 191,958.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,971.80 : 724,425.30 = 127,978.20 : x
  2. Step 2: Convert to fraction form
    482,971.80/724,425.30 = 127,978.20/x
  3. Step 3: Cross multiply
    482,971.80x = 724,425.30 × 127,978.20
  4. Step 4: Simplify right side
    482,971.80x = 92,710,645,928.46
  5. Step 5: Solve for x
    x = 92,710,645,928.46/482,971.80
  6. Step 6: Final answer
    x = 191,958.71

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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.