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Finding the Fourth Proportional to 409,894.82, 614,860.67 and 125,564.61

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Solution

The fourth proportional to 409,894.82, 614,860.67 and 125,564.61 is: 188,352.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,894.82 : 614,860.67 = 125,564.61 : x
  2. Step 2: Convert to fraction form
    409,894.82/614,860.67 = 125,564.61/x
  3. Step 3: Cross multiply
    409,894.82x = 614,860.67 × 125,564.61
  4. Step 4: Simplify right side
    409,894.82x = 77,204,740,232.89
  5. Step 5: Solve for x
    x = 77,204,740,232.89/409,894.82
  6. Step 6: Final answer
    x = 188,352.56

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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.