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Finding the Fourth Proportional to 409,841.60, 614,106.30 and 269,436.20

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Solution

The fourth proportional to 409,841.60, 614,106.30 and 269,436.20 is: 403,722.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,841.60 : 614,106.30 = 269,436.20 : x
  2. Step 2: Convert to fraction form
    409,841.60/614,106.30 = 269,436.20/x
  3. Step 3: Cross multiply
    409,841.60x = 614,106.30 × 269,436.20
  4. Step 4: Simplify right side
    409,841.60x = 165,462,467,868.06
  5. Step 5: Solve for x
    x = 165,462,467,868.06/409,841.60
  6. Step 6: Final answer
    x = 403,722.97

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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.