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Finding the Fourth Proportional to 408,727.14, 563,723.94 and 265,533.32

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Solution

The fourth proportional to 408,727.14, 563,723.94 and 265,533.32 is: 366,228.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,727.14 : 563,723.94 = 265,533.32 : x
  2. Step 2: Convert to fraction form
    408,727.14/563,723.94 = 265,533.32/x
  3. Step 3: Cross multiply
    408,727.14x = 563,723.94 × 265,533.32
  4. Step 4: Simplify right side
    408,727.14x = 149,687,489,351.68
  5. Step 5: Solve for x
    x = 149,687,489,351.68/408,727.14
  6. Step 6: Final answer
    x = 366,228.41

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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.