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Finding the Fourth Proportional to 267,364.70, 401,047.05 and 207,878.30

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Solution

The fourth proportional to 267,364.70, 401,047.05 and 207,878.30 is: 311,817.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,364.70 : 401,047.05 = 207,878.30 : x
  2. Step 2: Convert to fraction form
    267,364.70/401,047.05 = 207,878.30/x
  3. Step 3: Cross multiply
    267,364.70x = 401,047.05 × 207,878.30
  4. Step 4: Simplify right side
    267,364.70x = 83,368,978,974.02
  5. Step 5: Solve for x
    x = 83,368,978,974.02/267,364.70
  6. Step 6: Final answer
    x = 311,817.45

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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.