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Finding the Fourth Proportional to 324,034.40, 486,051.60 and 205,839.20

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Solution

The fourth proportional to 324,034.40, 486,051.60 and 205,839.20 is: 308,758.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,034.40 : 486,051.60 = 205,839.20 : x
  2. Step 2: Convert to fraction form
    324,034.40/486,051.60 = 205,839.20/x
  3. Step 3: Cross multiply
    324,034.40x = 486,051.60 × 205,839.20
  4. Step 4: Simplify right side
    324,034.40x = 100,048,472,502.72
  5. Step 5: Solve for x
    x = 100,048,472,502.72/324,034.40
  6. Step 6: Final answer
    x = 308,758.80

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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.