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Finding the Fourth Proportional to 313,217.92, 469,685.76 and 186,916.48

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Solution

The fourth proportional to 313,217.92, 469,685.76 and 186,916.48 is: 280,290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,217.92 : 469,685.76 = 186,916.48 : x
  2. Step 2: Convert to fraction form
    313,217.92/469,685.76 = 186,916.48/x
  3. Step 3: Cross multiply
    313,217.92x = 469,685.76 × 186,916.48
  4. Step 4: Simplify right side
    313,217.92x = 87,792,008,965.32
  5. Step 5: Solve for x
    x = 87,792,008,965.32/313,217.92
  6. Step 6: Final answer
    x = 280,290.50

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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.