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Finding the Fourth Proportional to 298,889.53, 412,462.23 and 162,924.65

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Solution

The fourth proportional to 298,889.53, 412,462.23 and 162,924.65 is: 224,833.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,889.53 : 412,462.23 = 162,924.65 : x
  2. Step 2: Convert to fraction form
    298,889.53/412,462.23 = 162,924.65/x
  3. Step 3: Cross multiply
    298,889.53x = 412,462.23 × 162,924.65
  4. Step 4: Simplify right side
    298,889.53x = 67,200,263,334.42
  5. Step 5: Solve for x
    x = 67,200,263,334.42/298,889.53
  6. Step 6: Final answer
    x = 224,833.11

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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.