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Finding the Fourth Proportional to 439,701.60, 657,478.80 and 327,727.20

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Solution

The fourth proportional to 439,701.60, 657,478.80 and 327,727.20 is: 490,045.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,701.60 : 657,478.80 = 327,727.20 : x
  2. Step 2: Convert to fraction form
    439,701.60/657,478.80 = 327,727.20/x
  3. Step 3: Cross multiply
    439,701.60x = 657,478.80 × 327,727.20
  4. Step 4: Simplify right side
    439,701.60x = 215,473,686,183.36
  5. Step 5: Solve for x
    x = 215,473,686,183.36/439,701.60
  6. Step 6: Final answer
    x = 490,045.26

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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.