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Finding the Fourth Proportional to 267,968.56, 401,427.34 and 155,412.32

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Solution

The fourth proportional to 267,968.56, 401,427.34 and 155,412.32 is: 232,813.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,968.56 : 401,427.34 = 155,412.32 : x
  2. Step 2: Convert to fraction form
    267,968.56/401,427.34 = 155,412.32/x
  3. Step 3: Cross multiply
    267,968.56x = 401,427.34 × 155,412.32
  4. Step 4: Simplify right side
    267,968.56x = 62,386,754,220.83
  5. Step 5: Solve for x
    x = 62,386,754,220.83/267,968.56
  6. Step 6: Final answer
    x = 232,813.71

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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.