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Finding the Fourth Proportional to 408,733.80, 563,733.12 and 265,539.97

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Solution

The fourth proportional to 408,733.80, 563,733.12 and 265,539.97 is: 366,237.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,733.80 : 563,733.12 = 265,539.97 : x
  2. Step 2: Convert to fraction form
    408,733.80/563,733.12 = 265,539.97/x
  3. Step 3: Cross multiply
    408,733.80x = 563,733.12 × 265,539.97
  4. Step 4: Simplify right side
    408,733.80x = 149,693,675,979.59
  5. Step 5: Solve for x
    x = 149,693,675,979.59/408,733.80
  6. Step 6: Final answer
    x = 366,237.58

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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.