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Finding the Fourth Proportional to 361,504.80, 542,257.20 and 184,357.80

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Solution

The fourth proportional to 361,504.80, 542,257.20 and 184,357.80 is: 276,536.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,504.80 : 542,257.20 = 184,357.80 : x
  2. Step 2: Convert to fraction form
    361,504.80/542,257.20 = 184,357.80/x
  3. Step 3: Cross multiply
    361,504.80x = 542,257.20 × 184,357.80
  4. Step 4: Simplify right side
    361,504.80x = 99,969,344,426.16
  5. Step 5: Solve for x
    x = 99,969,344,426.16/361,504.80
  6. Step 6: Final answer
    x = 276,536.70

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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.