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Finding the Fourth Proportional to 408,454.96, 563,584.52 and 238,656.24

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Solution

The fourth proportional to 408,454.96, 563,584.52 and 238,656.24 is: 329,296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,454.96 : 563,584.52 = 238,656.24 : x
  2. Step 2: Convert to fraction form
    408,454.96/563,584.52 = 238,656.24/x
  3. Step 3: Cross multiply
    408,454.96x = 563,584.52 × 238,656.24
  4. Step 4: Simplify right side
    408,454.96x = 134,502,962,465.41
  5. Step 5: Solve for x
    x = 134,502,962,465.41/408,454.96
  6. Step 6: Final answer
    x = 329,296.93

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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.