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Finding the Fourth Proportional to 477,089.28, 658,388.22 and 259,297.92

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Solution

The fourth proportional to 477,089.28, 658,388.22 and 259,297.92 is: 357,833.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,089.28 : 658,388.22 = 259,297.92 : x
  2. Step 2: Convert to fraction form
    477,089.28/658,388.22 = 259,297.92/x
  3. Step 3: Cross multiply
    477,089.28x = 658,388.22 × 259,297.92
  4. Step 4: Simplify right side
    477,089.28x = 170,718,695,998.50
  5. Step 5: Solve for x
    x = 170,718,695,998.50/477,089.28
  6. Step 6: Final answer
    x = 357,833.85

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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.