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Finding the Fourth Proportional to 298,815.68, 412,365.70 and 162,849.66

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Solution

The fourth proportional to 298,815.68, 412,365.70 and 162,849.66 is: 224,732.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,815.68 : 412,365.70 = 162,849.66 : x
  2. Step 2: Convert to fraction form
    298,815.68/412,365.70 = 162,849.66/x
  3. Step 3: Cross multiply
    298,815.68x = 412,365.70 × 162,849.66
  4. Step 4: Simplify right side
    298,815.68x = 67,153,614,040.66
  5. Step 5: Solve for x
    x = 67,153,614,040.66/298,815.68
  6. Step 6: Final answer
    x = 224,732.56

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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.