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Finding the Fourth Proportional to 408,440.96, 563,565.24 and 238,642.28

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Solution

The fourth proportional to 408,440.96, 563,565.24 and 238,642.28 is: 329,277.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,440.96 : 563,565.24 = 238,642.28 : x
  2. Step 2: Convert to fraction form
    408,440.96/563,565.24 = 238,642.28/x
  3. Step 3: Cross multiply
    408,440.96x = 563,565.24 × 238,642.28
  4. Step 4: Simplify right side
    408,440.96x = 134,490,493,802.35
  5. Step 5: Solve for x
    x = 134,490,493,802.35/408,440.96
  6. Step 6: Final answer
    x = 329,277.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.