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Finding the Fourth Proportional to 456,479.96, 684,832 and 321,807.20

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Solution

The fourth proportional to 456,479.96, 684,832 and 321,807.20 is: 482,789.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,479.96 : 684,832 = 321,807.20 : x
  2. Step 2: Convert to fraction form
    456,479.96/684,832 = 321,807.20/x
  3. Step 3: Cross multiply
    456,479.96x = 684,832 × 321,807.20
  4. Step 4: Simplify right side
    456,479.96x = 220,383,868,390.40
  5. Step 5: Solve for x
    x = 220,383,868,390.40/456,479.96
  6. Step 6: Final answer
    x = 482,789.80

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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.