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Finding the Fourth Proportional to 409,810.16, 614,948.52 and 269,634.80

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Solution

The fourth proportional to 409,810.16, 614,948.52 and 269,634.80 is: 404,605.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,810.16 : 614,948.52 = 269,634.80 : x
  2. Step 2: Convert to fraction form
    409,810.16/614,948.52 = 269,634.80/x
  3. Step 3: Cross multiply
    409,810.16x = 614,948.52 × 269,634.80
  4. Step 4: Simplify right side
    409,810.16x = 165,811,521,200.50
  5. Step 5: Solve for x
    x = 165,811,521,200.50/409,810.16
  6. Step 6: Final answer
    x = 404,605.69

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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.