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Finding the Fourth Proportional to 398,344.80, 597,192.60 and 185,247.16

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Solution

The fourth proportional to 398,344.80, 597,192.60 and 185,247.16 is: 277,719.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,344.80 : 597,192.60 = 185,247.16 : x
  2. Step 2: Convert to fraction form
    398,344.80/597,192.60 = 185,247.16/x
  3. Step 3: Cross multiply
    398,344.80x = 597,192.60 × 185,247.16
  4. Step 4: Simplify right side
    398,344.80x = 110,628,233,123.02
  5. Step 5: Solve for x
    x = 110,628,233,123.02/398,344.80
  6. Step 6: Final answer
    x = 277,719.79

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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.