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Finding the Fourth Proportional to 361,005.32, 498,168.38 and 197,630.55

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Solution

The fourth proportional to 361,005.32, 498,168.38 and 197,630.55 is: 272,719.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,005.32 : 498,168.38 = 197,630.55 : x
  2. Step 2: Convert to fraction form
    361,005.32/498,168.38 = 197,630.55/x
  3. Step 3: Cross multiply
    361,005.32x = 498,168.38 × 197,630.55
  4. Step 4: Simplify right side
    361,005.32x = 98,453,290,314.41
  5. Step 5: Solve for x
    x = 98,453,290,314.41/361,005.32
  6. Step 6: Final answer
    x = 272,719.77

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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.