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Finding the Fourth Proportional to 267,998.40, 401,414.40 and 233,006.40

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Solution

The fourth proportional to 267,998.40, 401,414.40 and 233,006.40 is: 349,002.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,998.40 : 401,414.40 = 233,006.40 : x
  2. Step 2: Convert to fraction form
    267,998.40/401,414.40 = 233,006.40/x
  3. Step 3: Cross multiply
    267,998.40x = 401,414.40 × 233,006.40
  4. Step 4: Simplify right side
    267,998.40x = 93,532,124,252.16
  5. Step 5: Solve for x
    x = 93,532,124,252.16/267,998.40
  6. Step 6: Final answer
    x = 349,002.55

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1.5x scale

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.