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Finding the Fourth Proportional to 456,443.20, 684,664.80 and 231,838.30

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Solution

The fourth proportional to 456,443.20, 684,664.80 and 231,838.30 is: 347,757.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,443.20 : 684,664.80 = 231,838.30 : x
  2. Step 2: Convert to fraction form
    456,443.20/684,664.80 = 231,838.30/x
  3. Step 3: Cross multiply
    456,443.20x = 684,664.80 × 231,838.30
  4. Step 4: Simplify right side
    456,443.20x = 158,731,523,301.84
  5. Step 5: Solve for x
    x = 158,731,523,301.84/456,443.20
  6. Step 6: Final answer
    x = 347,757.45

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Similar ratio
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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.