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Finding the Fourth Proportional to 409,611.88, 565,371.30 and 266,763.88

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Solution

The fourth proportional to 409,611.88, 565,371.30 and 266,763.88 is: 368,203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,611.88 : 565,371.30 = 266,763.88 : x
  2. Step 2: Convert to fraction form
    409,611.88/565,371.30 = 266,763.88/x
  3. Step 3: Cross multiply
    409,611.88x = 565,371.30 × 266,763.88
  4. Step 4: Simplify right side
    409,611.88x = 150,820,641,628.64
  5. Step 5: Solve for x
    x = 150,820,641,628.64/409,611.88
  6. Step 6: Final answer
    x = 368,203.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.