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Finding the Fourth Proportional to 289,964.18, 400,169.50 and 162,648.38

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Solution

The fourth proportional to 289,964.18, 400,169.50 and 162,648.38 is: 224,465.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,964.18 : 400,169.50 = 162,648.38 : x
  2. Step 2: Convert to fraction form
    289,964.18/400,169.50 = 162,648.38/x
  3. Step 3: Cross multiply
    289,964.18x = 400,169.50 × 162,648.38
  4. Step 4: Simplify right side
    289,964.18x = 65,086,920,900.41
  5. Step 5: Solve for x
    x = 65,086,920,900.41/289,964.18
  6. Step 6: Final answer
    x = 224,465.38

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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.