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Finding the Fourth Proportional to 254,738.32, 381,609.23 and 209,824.16

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Solution

The fourth proportional to 254,738.32, 381,609.23 and 209,824.16 is: 314,325.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,738.32 : 381,609.23 = 209,824.16 : x
  2. Step 2: Convert to fraction form
    254,738.32/381,609.23 = 209,824.16/x
  3. Step 3: Cross multiply
    254,738.32x = 381,609.23 × 209,824.16
  4. Step 4: Simplify right side
    254,738.32x = 80,070,833,175.83
  5. Step 5: Solve for x
    x = 80,070,833,175.83/254,738.32
  6. Step 6: Final answer
    x = 314,325.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.