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Finding the Fourth Proportional to 471,680.20, 707,014.62 and 234,512.20

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Solution

The fourth proportional to 471,680.20, 707,014.62 and 234,512.20 is: 351,516.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,680.20 : 707,014.62 = 234,512.20 : x
  2. Step 2: Convert to fraction form
    471,680.20/707,014.62 = 234,512.20/x
  3. Step 3: Cross multiply
    471,680.20x = 707,014.62 × 234,512.20
  4. Step 4: Simplify right side
    471,680.20x = 165,803,553,968.36
  5. Step 5: Solve for x
    x = 165,803,553,968.36/471,680.20
  6. Step 6: Final answer
    x = 351,516.88

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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.