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Finding the Fourth Proportional to 298,963.85, 412,569.99 and 162,997.91

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Solution

The fourth proportional to 298,963.85, 412,569.99 and 162,997.91 is: 224,937.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,963.85 : 412,569.99 = 162,997.91 : x
  2. Step 2: Convert to fraction form
    298,963.85/412,569.99 = 162,997.91/x
  3. Step 3: Cross multiply
    298,963.85x = 412,569.99 × 162,997.91
  4. Step 4: Simplify right side
    298,963.85x = 67,248,045,115.06
  5. Step 5: Solve for x
    x = 67,248,045,115.06/298,963.85
  6. Step 6: Final answer
    x = 224,937.05

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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.