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Finding the Fourth Proportional to 254,577, 381,769.50 and 204,534.12

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Solution

The fourth proportional to 254,577, 381,769.50 and 204,534.12 is: 306,724.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,577 : 381,769.50 = 204,534.12 : x
  2. Step 2: Convert to fraction form
    254,577/381,769.50 = 204,534.12/x
  3. Step 3: Cross multiply
    254,577x = 381,769.50 × 204,534.12
  4. Step 4: Simplify right side
    254,577x = 78,084,888,725.34
  5. Step 5: Solve for x
    x = 78,084,888,725.34/254,577
  6. Step 6: Final answer
    x = 306,724.05

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Why These Related Problems?

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