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Finding the Fourth Proportional to 408,706.76, 563,627.22 and 270,639.56

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Solution

The fourth proportional to 408,706.76, 563,627.22 and 270,639.56 is: 373,225.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,706.76 : 563,627.22 = 270,639.56 : x
  2. Step 2: Convert to fraction form
    408,706.76/563,627.22 = 270,639.56/x
  3. Step 3: Cross multiply
    408,706.76x = 563,627.22 × 270,639.56
  4. Step 4: Simplify right side
    408,706.76x = 152,539,822,824.82
  5. Step 5: Solve for x
    x = 152,539,822,824.82/408,706.76
  6. Step 6: Final answer
    x = 373,225.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.