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Finding the Fourth Proportional to 278,401.52, 417,466.20 and 194,202.02

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Solution

The fourth proportional to 278,401.52, 417,466.20 and 194,202.02 is: 291,208.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,401.52 : 417,466.20 = 194,202.02 : x
  2. Step 2: Convert to fraction form
    278,401.52/417,466.20 = 194,202.02/x
  3. Step 3: Cross multiply
    278,401.52x = 417,466.20 × 194,202.02
  4. Step 4: Simplify right side
    278,401.52x = 81,072,779,321.72
  5. Step 5: Solve for x
    x = 81,072,779,321.72/278,401.52
  6. Step 6: Final answer
    x = 291,208.11

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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.