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Finding the Fourth Proportional to 403,727.20, 605,590.80 and 324,995.20

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Solution

The fourth proportional to 403,727.20, 605,590.80 and 324,995.20 is: 487,492.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,727.20 : 605,590.80 = 324,995.20 : x
  2. Step 2: Convert to fraction form
    403,727.20/605,590.80 = 324,995.20/x
  3. Step 3: Cross multiply
    403,727.20x = 605,590.80 × 324,995.20
  4. Step 4: Simplify right side
    403,727.20x = 196,814,103,164.16
  5. Step 5: Solve for x
    x = 196,814,103,164.16/403,727.20
  6. Step 6: Final answer
    x = 487,492.80

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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.