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Finding the Fourth Proportional to 403,591.46, 605,304.63 and 150,825.29

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Solution

The fourth proportional to 403,591.46, 605,304.63 and 150,825.29 is: 226,207.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,591.46 : 605,304.63 = 150,825.29 : x
  2. Step 2: Convert to fraction form
    403,591.46/605,304.63 = 150,825.29/x
  3. Step 3: Cross multiply
    403,591.46x = 605,304.63 × 150,825.29
  4. Step 4: Simplify right side
    403,591.46x = 91,295,243,331.57
  5. Step 5: Solve for x
    x = 91,295,243,331.57/403,591.46
  6. Step 6: Final answer
    x = 226,207.08

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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.