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Finding the Fourth Proportional to 409,805.46, 614,560.57 and 173,166.59

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Solution

The fourth proportional to 409,805.46, 614,560.57 and 173,166.59 is: 259,687.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,805.46 : 614,560.57 = 173,166.59 : x
  2. Step 2: Convert to fraction form
    409,805.46/614,560.57 = 173,166.59/x
  3. Step 3: Cross multiply
    409,805.46x = 614,560.57 × 173,166.59
  4. Step 4: Simplify right side
    409,805.46x = 106,421,359,358.84
  5. Step 5: Solve for x
    x = 106,421,359,358.84/409,805.46
  6. Step 6: Final answer
    x = 259,687.51

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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.