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Finding the Fourth Proportional to 403,497.80, 605,538.30 and 225,816.20

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Solution

The fourth proportional to 403,497.80, 605,538.30 and 225,816.20 is: 338,887.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,497.80 : 605,538.30 = 225,816.20 : x
  2. Step 2: Convert to fraction form
    403,497.80/605,538.30 = 225,816.20/x
  3. Step 3: Cross multiply
    403,497.80x = 605,538.30 × 225,816.20
  4. Step 4: Simplify right side
    403,497.80x = 136,740,357,860.46
  5. Step 5: Solve for x
    x = 136,740,357,860.46/403,497.80
  6. Step 6: Final answer
    x = 338,887.49

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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.