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Finding the Fourth Proportional to 403,658.12, 605,596.49 and 150,964.28

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Solution

The fourth proportional to 403,658.12, 605,596.49 and 150,964.28 is: 226,487.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,658.12 : 605,596.49 = 150,964.28 : x
  2. Step 2: Convert to fraction form
    403,658.12/605,596.49 = 150,964.28/x
  3. Step 3: Cross multiply
    403,658.12x = 605,596.49 × 150,964.28
  4. Step 4: Simplify right side
    403,658.12x = 91,423,434,300.57
  5. Step 5: Solve for x
    x = 91,423,434,300.57/403,658.12
  6. Step 6: Final answer
    x = 226,487.29

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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.