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Finding the Fourth Proportional to 403,053.64, 604,658.22 and 225,760.84

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Solution

The fourth proportional to 403,053.64, 604,658.22 and 225,760.84 is: 338,684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,053.64 : 604,658.22 = 225,760.84 : x
  2. Step 2: Convert to fraction form
    403,053.64/604,658.22 = 225,760.84/x
  3. Step 3: Cross multiply
    403,053.64x = 604,658.22 × 225,760.84
  4. Step 4: Simplify right side
    403,053.64x = 136,508,147,660.11
  5. Step 5: Solve for x
    x = 136,508,147,660.11/403,053.64
  6. Step 6: Final answer
    x = 338,684.82

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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.