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Finding the Fourth Proportional to 361,356.30, 542,034.45 and 184,209.30

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Solution

The fourth proportional to 361,356.30, 542,034.45 and 184,209.30 is: 276,313.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,356.30 : 542,034.45 = 184,209.30 : x
  2. Step 2: Convert to fraction form
    361,356.30/542,034.45 = 184,209.30/x
  3. Step 3: Cross multiply
    361,356.30x = 542,034.45 × 184,209.30
  4. Step 4: Simplify right side
    361,356.30x = 99,847,786,610.39
  5. Step 5: Solve for x
    x = 99,847,786,610.39/361,356.30
  6. Step 6: Final answer
    x = 276,313.95

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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.