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Finding the Fourth Proportional to 345,891.10, 477,148.16 and 281,432.40

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Solution

The fourth proportional to 345,891.10, 477,148.16 and 281,432.40 is: 388,228.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,891.10 : 477,148.16 = 281,432.40 : x
  2. Step 2: Convert to fraction form
    345,891.10/477,148.16 = 281,432.40/x
  3. Step 3: Cross multiply
    345,891.10x = 477,148.16 × 281,432.40
  4. Step 4: Simplify right side
    345,891.10x = 134,284,951,824.38
  5. Step 5: Solve for x
    x = 134,284,951,824.38/345,891.10
  6. Step 6: Final answer
    x = 388,228.99

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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.