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Finding the Fourth Proportional to 408,861.88, 563,990.24 and 265,717.26

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Solution

The fourth proportional to 408,861.88, 563,990.24 and 265,717.26 is: 366,534.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,861.88 : 563,990.24 = 265,717.26 : x
  2. Step 2: Convert to fraction form
    408,861.88/563,990.24 = 265,717.26/x
  3. Step 3: Cross multiply
    408,861.88x = 563,990.24 × 265,717.26
  4. Step 4: Simplify right side
    408,861.88x = 149,861,941,903.84
  5. Step 5: Solve for x
    x = 149,861,941,903.84/408,861.88
  6. Step 6: Final answer
    x = 366,534.40

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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.