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Finding the Fourth Proportional to 403,594.47, 605,309.13 and 150,828.30

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Solution

The fourth proportional to 403,594.47, 605,309.13 and 150,828.30 is: 226,211.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,594.47 : 605,309.13 = 150,828.30 : x
  2. Step 2: Convert to fraction form
    403,594.47/605,309.13 = 150,828.30/x
  3. Step 3: Cross multiply
    403,594.47x = 605,309.13 × 150,828.30
  4. Step 4: Simplify right side
    403,594.47x = 91,297,747,052.38
  5. Step 5: Solve for x
    x = 91,297,747,052.38/403,594.47
  6. Step 6: Final answer
    x = 226,211.59

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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.