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Finding the Fourth Proportional to 464,350.82, 696,470.06 and 127,418.90

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Solution

The fourth proportional to 464,350.82, 696,470.06 and 127,418.90 is: 191,112.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,350.82 : 696,470.06 = 127,418.90 : x
  2. Step 2: Convert to fraction form
    464,350.82/696,470.06 = 127,418.90/x
  3. Step 3: Cross multiply
    464,350.82x = 696,470.06 × 127,418.90
  4. Step 4: Simplify right side
    464,350.82x = 88,743,448,928.13
  5. Step 5: Solve for x
    x = 88,743,448,928.13/464,350.82
  6. Step 6: Final answer
    x = 191,112.94

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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.