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Finding the Fourth Proportional to 661,142.70, 991,714.05 and 451,190.70

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Solution

The fourth proportional to 661,142.70, 991,714.05 and 451,190.70 is: 676,786.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,142.70 : 991,714.05 = 451,190.70 : x
  2. Step 2: Convert to fraction form
    661,142.70/991,714.05 = 451,190.70/x
  3. Step 3: Cross multiply
    661,142.70x = 991,714.05 × 451,190.70
  4. Step 4: Simplify right side
    661,142.70x = 447,452,156,419.34
  5. Step 5: Solve for x
    x = 447,452,156,419.34/661,142.70
  6. Step 6: Final answer
    x = 676,786.05

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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.