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Finding the Fourth Proportional to 403,592.47, 605,306.13 and 150,826.30

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Solution

The fourth proportional to 403,592.47, 605,306.13 and 150,826.30 is: 226,208.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,592.47 : 605,306.13 = 150,826.30 : x
  2. Step 2: Convert to fraction form
    403,592.47/605,306.13 = 150,826.30/x
  3. Step 3: Cross multiply
    403,592.47x = 605,306.13 × 150,826.30
  4. Step 4: Simplify right side
    403,592.47x = 91,296,083,955.22
  5. Step 5: Solve for x
    x = 91,296,083,955.22/403,592.47
  6. Step 6: Final answer
    x = 226,208.59

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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.