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Finding the Fourth Proportional to 409,416.75, 614,040.35 and 109,826.10

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Solution

The fourth proportional to 409,416.75, 614,040.35 and 109,826.10 is: 164,716.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,416.75 : 614,040.35 = 109,826.10 : x
  2. Step 2: Convert to fraction form
    409,416.75/614,040.35 = 109,826.10/x
  3. Step 3: Cross multiply
    409,416.75x = 614,040.35 × 109,826.10
  4. Step 4: Simplify right side
    409,416.75x = 67,437,656,334.00
  5. Step 5: Solve for x
    x = 67,437,656,334.00/409,416.75
  6. Step 6: Final answer
    x = 164,716.41

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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.