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Finding the Fourth Proportional to 456,422.10, 684,633.15 and 456,422.10

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Solution

The fourth proportional to 456,422.10, 684,633.15 and 456,422.10 is: 684,633.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,422.10 : 684,633.15 = 456,422.10 : x
  2. Step 2: Convert to fraction form
    456,422.10/684,633.15 = 456,422.10/x
  3. Step 3: Cross multiply
    456,422.10x = 684,633.15 × 456,422.10
  4. Step 4: Simplify right side
    456,422.10x = 312,481,700,052.62
  5. Step 5: Solve for x
    x = 312,481,700,052.62/456,422.10
  6. Step 6: Final answer
    x = 684,633.15

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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.