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Finding the Fourth Proportional to 409,414.82, 614,037.50 and 109,824.16

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Solution

The fourth proportional to 409,414.82, 614,037.50 and 109,824.16 is: 164,713.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,414.82 : 614,037.50 = 109,824.16 : x
  2. Step 2: Convert to fraction form
    409,414.82/614,037.50 = 109,824.16/x
  3. Step 3: Cross multiply
    409,414.82x = 614,037.50 × 109,824.16
  4. Step 4: Simplify right side
    409,414.82x = 67,436,152,646
  5. Step 5: Solve for x
    x = 67,436,152,646/409,414.82
  6. Step 6: Final answer
    x = 164,713.51

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1.5x scale

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.