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Finding the Fourth Proportional to 408,395.25, 563,502.84 and 238,596.57

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Solution

The fourth proportional to 408,395.25, 563,502.84 and 238,596.57 is: 329,215.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,395.25 : 563,502.84 = 238,596.57 : x
  2. Step 2: Convert to fraction form
    408,395.25/563,502.84 = 238,596.57/x
  3. Step 3: Cross multiply
    408,395.25x = 563,502.84 × 238,596.57
  4. Step 4: Simplify right side
    408,395.25x = 134,449,844,809.26
  5. Step 5: Solve for x
    x = 134,449,844,809.26/408,395.25
  6. Step 6: Final answer
    x = 329,215.01

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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.