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Finding the Fourth Proportional to 298,580.74, 412,041.78 and 162,614.92

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Solution

The fourth proportional to 298,580.74, 412,041.78 and 162,614.92 is: 224,408.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,580.74 : 412,041.78 = 162,614.92 : x
  2. Step 2: Convert to fraction form
    298,580.74/412,041.78 = 162,614.92/x
  3. Step 3: Cross multiply
    298,580.74x = 412,041.78 × 162,614.92
  4. Step 4: Simplify right side
    298,580.74x = 67,004,141,091.36
  5. Step 5: Solve for x
    x = 67,004,141,091.36/298,580.74
  6. Step 6: Final answer
    x = 224,408.79

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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.