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Finding the Fourth Proportional to 403,658.69, 605,597.33 and 150,964.84

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Solution

The fourth proportional to 403,658.69, 605,597.33 and 150,964.84 is: 226,488.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,658.69 : 605,597.33 = 150,964.84 : x
  2. Step 2: Convert to fraction form
    403,658.69/605,597.33 = 150,964.84/x
  3. Step 3: Cross multiply
    403,658.69x = 605,597.33 × 150,964.84
  4. Step 4: Simplify right side
    403,658.69x = 91,423,904,027.88
  5. Step 5: Solve for x
    x = 91,423,904,027.88/403,658.69
  6. Step 6: Final answer
    x = 226,488.14

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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.