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Finding the Fourth Proportional to 267,647.92, 401,344.75 and 155,362.58

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Solution

The fourth proportional to 267,647.92, 401,344.75 and 155,362.58 is: 232,970.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,647.92 : 401,344.75 = 155,362.58 : x
  2. Step 2: Convert to fraction form
    267,647.92/401,344.75 = 155,362.58/x
  3. Step 3: Cross multiply
    267,647.92x = 401,344.75 × 155,362.58
  4. Step 4: Simplify right side
    267,647.92x = 62,353,955,829.46
  5. Step 5: Solve for x
    x = 62,353,955,829.46/267,647.92
  6. Step 6: Final answer
    x = 232,970.07

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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.