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Finding the Fourth Proportional to 298,845.96, 412,395.40 and 162,877

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Solution

The fourth proportional to 298,845.96, 412,395.40 and 162,877 is: 224,763.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,845.96 : 412,395.40 = 162,877 : x
  2. Step 2: Convert to fraction form
    298,845.96/412,395.40 = 162,877/x
  3. Step 3: Cross multiply
    298,845.96x = 412,395.40 × 162,877
  4. Step 4: Simplify right side
    298,845.96x = 67,169,725,565.80
  5. Step 5: Solve for x
    x = 67,169,725,565.80/298,845.96
  6. Step 6: Final answer
    x = 224,763.71

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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.