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Finding the Fourth Proportional to 562,375.56, 842,503.86 and 277,732.92

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Solution

The fourth proportional to 562,375.56, 842,503.86 and 277,732.92 is: 416,076.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,375.56 : 842,503.86 = 277,732.92 : x
  2. Step 2: Convert to fraction form
    562,375.56/842,503.86 = 277,732.92/x
  3. Step 3: Cross multiply
    562,375.56x = 842,503.86 × 277,732.92
  4. Step 4: Simplify right side
    562,375.56x = 233,991,057,149.07
  5. Step 5: Solve for x
    x = 233,991,057,149.07/562,375.56
  6. Step 6: Final answer
    x = 416,076.15

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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.