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Finding the Fourth Proportional to 267,347.20, 401,020.80 and 167,814.40

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Solution

The fourth proportional to 267,347.20, 401,020.80 and 167,814.40 is: 251,721.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,347.20 : 401,020.80 = 167,814.40 : x
  2. Step 2: Convert to fraction form
    267,347.20/401,020.80 = 167,814.40/x
  3. Step 3: Cross multiply
    267,347.20x = 401,020.80 × 167,814.40
  4. Step 4: Simplify right side
    267,347.20x = 67,297,064,939.52
  5. Step 5: Solve for x
    x = 67,297,064,939.52/267,347.20
  6. Step 6: Final answer
    x = 251,721.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.