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Finding the Fourth Proportional to 408,400.26, 563,509.77 and 238,601.58

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Solution

The fourth proportional to 408,400.26, 563,509.77 and 238,601.58 is: 329,221.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,400.26 : 563,509.77 = 238,601.58 : x
  2. Step 2: Convert to fraction form
    408,400.26/563,509.77 = 238,601.58/x
  3. Step 3: Cross multiply
    408,400.26x = 563,509.77 × 238,601.58
  4. Step 4: Simplify right side
    408,400.26x = 134,454,321,467.44
  5. Step 5: Solve for x
    x = 134,454,321,467.44/408,400.26
  6. Step 6: Final answer
    x = 329,221.93

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1.5x scale

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.