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Finding the Fourth Proportional to 298,801.43, 412,333.97 and 162,832.47

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Solution

The fourth proportional to 298,801.43, 412,333.97 and 162,832.47 is: 224,702.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,801.43 : 412,333.97 = 162,832.47 : x
  2. Step 2: Convert to fraction form
    298,801.43/412,333.97 = 162,832.47/x
  3. Step 3: Cross multiply
    298,801.43x = 412,333.97 × 162,832.47
  4. Step 4: Simplify right side
    298,801.43x = 67,141,357,985.84
  5. Step 5: Solve for x
    x = 67,141,357,985.84/298,801.43
  6. Step 6: Final answer
    x = 224,702.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.