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Finding the Fourth Proportional to 439,713.60, 657,496.80 and 327,739.20

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Solution

The fourth proportional to 439,713.60, 657,496.80 and 327,739.20 is: 490,063.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,713.60 : 657,496.80 = 327,739.20 : x
  2. Step 2: Convert to fraction form
    439,713.60/657,496.80 = 327,739.20/x
  3. Step 3: Cross multiply
    439,713.60x = 657,496.80 × 327,739.20
  4. Step 4: Simplify right side
    439,713.60x = 215,487,475,234.56
  5. Step 5: Solve for x
    x = 215,487,475,234.56/439,713.60
  6. Step 6: Final answer
    x = 490,063.25

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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.