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Finding the Fourth Proportional to 456,467.80, 684,701.70 and 140,924.20

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Solution

The fourth proportional to 456,467.80, 684,701.70 and 140,924.20 is: 211,386.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,467.80 : 684,701.70 = 140,924.20 : x
  2. Step 2: Convert to fraction form
    456,467.80/684,701.70 = 140,924.20/x
  3. Step 3: Cross multiply
    456,467.80x = 684,701.70 × 140,924.20
  4. Step 4: Simplify right side
    456,467.80x = 96,491,039,311.14
  5. Step 5: Solve for x
    x = 96,491,039,311.14/456,467.80
  6. Step 6: Final answer
    x = 211,386.30

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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.