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Finding the Fourth Proportional to 409,366.56, 614,132.64 and 172,709.76

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Solution

The fourth proportional to 409,366.56, 614,132.64 and 172,709.76 is: 259,099.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,366.56 : 614,132.64 = 172,709.76 : x
  2. Step 2: Convert to fraction form
    409,366.56/614,132.64 = 172,709.76/x
  3. Step 3: Cross multiply
    409,366.56x = 614,132.64 × 172,709.76
  4. Step 4: Simplify right side
    409,366.56x = 106,066,700,862.57
  5. Step 5: Solve for x
    x = 106,066,700,862.57/409,366.56
  6. Step 6: Final answer
    x = 259,099.57

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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.