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Finding the Fourth Proportional to 585,947.10, 878,805.45 and 191,963.10

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Solution

The fourth proportional to 585,947.10, 878,805.45 and 191,963.10 is: 287,906.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,947.10 : 878,805.45 = 191,963.10 : x
  2. Step 2: Convert to fraction form
    585,947.10/878,805.45 = 191,963.10/x
  3. Step 3: Cross multiply
    585,947.10x = 878,805.45 × 191,963.10
  4. Step 4: Simplify right side
    585,947.10x = 168,698,218,478.90
  5. Step 5: Solve for x
    x = 168,698,218,478.90/585,947.10
  6. Step 6: Final answer
    x = 287,906.91

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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.