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Finding the Fourth Proportional to 298,882.65, 412,451.90 and 162,915.42

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Solution

The fourth proportional to 298,882.65, 412,451.90 and 162,915.42 is: 224,819.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,882.65 : 412,451.90 = 162,915.42 : x
  2. Step 2: Convert to fraction form
    298,882.65/412,451.90 = 162,915.42/x
  3. Step 3: Cross multiply
    298,882.65x = 412,451.90 × 162,915.42
  4. Step 4: Simplify right side
    298,882.65x = 67,194,773,541.31
  5. Step 5: Solve for x
    x = 67,194,773,541.31/298,882.65
  6. Step 6: Final answer
    x = 224,819.92

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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.