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Finding the Fourth Proportional to 647,142.67, 970,714.01 and 197,863.55

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Solution

The fourth proportional to 647,142.67, 970,714.01 and 197,863.55 is: 296,795.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,142.67 : 970,714.01 = 197,863.55 : x
  2. Step 2: Convert to fraction form
    647,142.67/970,714.01 = 197,863.55/x
  3. Step 3: Cross multiply
    647,142.67x = 970,714.01 × 197,863.55
  4. Step 4: Simplify right side
    647,142.67x = 192,068,920,053.34
  5. Step 5: Solve for x
    x = 192,068,920,053.34/647,142.67
  6. Step 6: Final answer
    x = 296,795.33

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Double scale
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Similar ratio
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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.