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Finding the Fourth Proportional to 456,475.80, 684,713.70 and 140,932.20

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Solution

The fourth proportional to 456,475.80, 684,713.70 and 140,932.20 is: 211,398.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,475.80 : 684,713.70 = 140,932.20 : x
  2. Step 2: Convert to fraction form
    456,475.80/684,713.70 = 140,932.20/x
  3. Step 3: Cross multiply
    456,475.80x = 684,713.70 × 140,932.20
  4. Step 4: Simplify right side
    456,475.80x = 96,498,208,111.14
  5. Step 5: Solve for x
    x = 96,498,208,111.14/456,475.80
  6. Step 6: Final answer
    x = 211,398.30

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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.