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Finding the Fourth Proportional to 538,565.20, 807,847.80 and 328,613.20

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Solution

The fourth proportional to 538,565.20, 807,847.80 and 328,613.20 is: 492,919.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,565.20 : 807,847.80 = 328,613.20 : x
  2. Step 2: Convert to fraction form
    538,565.20/807,847.80 = 328,613.20/x
  3. Step 3: Cross multiply
    538,565.20x = 807,847.80 × 328,613.20
  4. Step 4: Simplify right side
    538,565.20x = 265,469,450,670.96
  5. Step 5: Solve for x
    x = 265,469,450,670.96/538,565.20
  6. Step 6: Final answer
    x = 492,919.80

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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.