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Finding the Fourth Proportional to 392,964.78, 542,291.40 and 214,116.78

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Solution

The fourth proportional to 392,964.78, 542,291.40 and 214,116.78 is: 295,481.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,964.78 : 542,291.40 = 214,116.78 : x
  2. Step 2: Convert to fraction form
    392,964.78/542,291.40 = 214,116.78/x
  3. Step 3: Cross multiply
    392,964.78x = 542,291.40 × 214,116.78
  4. Step 4: Simplify right side
    392,964.78x = 116,113,688,389.69
  5. Step 5: Solve for x
    x = 116,113,688,389.69/392,964.78
  6. Step 6: Final answer
    x = 295,481.16

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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.