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Finding the Fourth Proportional to 410,364.60, 614,510.10 and 269,359.80

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Solution

The fourth proportional to 410,364.60, 614,510.10 and 269,359.80 is: 403,359.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,364.60 : 614,510.10 = 269,359.80 : x
  2. Step 2: Convert to fraction form
    410,364.60/614,510.10 = 269,359.80/x
  3. Step 3: Cross multiply
    410,364.60x = 614,510.10 × 269,359.80
  4. Step 4: Simplify right side
    410,364.60x = 165,524,317,633.98
  5. Step 5: Solve for x
    x = 165,524,317,633.98/410,364.60
  6. Step 6: Final answer
    x = 403,359.15

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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.