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Finding the Fourth Proportional to 400,348.14, 552,680.34 and 230,549.46

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Solution

The fourth proportional to 400,348.14, 552,680.34 and 230,549.46 is: 318,273.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,348.14 : 552,680.34 = 230,549.46 : x
  2. Step 2: Convert to fraction form
    400,348.14/552,680.34 = 230,549.46/x
  3. Step 3: Cross multiply
    400,348.14x = 552,680.34 × 230,549.46
  4. Step 4: Simplify right side
    400,348.14x = 127,420,153,939.62
  5. Step 5: Solve for x
    x = 127,420,153,939.62/400,348.14
  6. Step 6: Final answer
    x = 318,273.38

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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.