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Finding the Fourth Proportional to 254,425.80, 381,638.70 and 232,264.20

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Solution

The fourth proportional to 254,425.80, 381,638.70 and 232,264.20 is: 348,396.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,425.80 : 381,638.70 = 232,264.20 : x
  2. Step 2: Convert to fraction form
    254,425.80/381,638.70 = 232,264.20/x
  3. Step 3: Cross multiply
    254,425.80x = 381,638.70 × 232,264.20
  4. Step 4: Simplify right side
    254,425.80x = 88,641,007,344.54
  5. Step 5: Solve for x
    x = 88,641,007,344.54/254,425.80
  6. Step 6: Final answer
    x = 348,396.30

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1.5x scale

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.