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Finding the Fourth Proportional to 409,808.60, 614,712.92 and 110,289.84

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Solution

The fourth proportional to 409,808.60, 614,712.92 and 110,289.84 is: 165,434.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,808.60 : 614,712.92 = 110,289.84 : x
  2. Step 2: Convert to fraction form
    409,808.60/614,712.92 = 110,289.84/x
  3. Step 3: Cross multiply
    409,808.60x = 614,712.92 × 110,289.84
  4. Step 4: Simplify right side
    409,808.60x = 67,796,589,592.73
  5. Step 5: Solve for x
    x = 67,796,589,592.73/409,808.60
  6. Step 6: Final answer
    x = 165,434.77

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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.