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Finding the Fourth Proportional to 412,040.64, 568,182.76 and 304,833.90

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Solution

The fourth proportional to 412,040.64, 568,182.76 and 304,833.90 is: 420,350.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,040.64 : 568,182.76 = 304,833.90 : x
  2. Step 2: Convert to fraction form
    412,040.64/568,182.76 = 304,833.90/x
  3. Step 3: Cross multiply
    412,040.64x = 568,182.76 × 304,833.90
  4. Step 4: Simplify right side
    412,040.64x = 173,201,365,569.48
  5. Step 5: Solve for x
    x = 173,201,365,569.48/412,040.64
  6. Step 6: Final answer
    x = 420,350.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.