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Finding the Fourth Proportional to 456,902.53, 685,982.72 and 232,414.88

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Solution

The fourth proportional to 456,902.53, 685,982.72 and 232,414.88 is: 348,942.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,902.53 : 685,982.72 = 232,414.88 : x
  2. Step 2: Convert to fraction form
    456,902.53/685,982.72 = 232,414.88/x
  3. Step 3: Cross multiply
    456,902.53x = 685,982.72 × 232,414.88
  4. Step 4: Simplify right side
    456,902.53x = 159,432,588,702.00
  5. Step 5: Solve for x
    x = 159,432,588,702.00/456,902.53
  6. Step 6: Final answer
    x = 348,942.23

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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.