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Finding the Fourth Proportional to 267,989.25, 401,458.31 and 155,433

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Solution

The fourth proportional to 267,989.25, 401,458.31 and 155,433 is: 232,844.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,989.25 : 401,458.31 = 155,433 : x
  2. Step 2: Convert to fraction form
    267,989.25/401,458.31 = 155,433/x
  3. Step 3: Cross multiply
    267,989.25x = 401,458.31 × 155,433
  4. Step 4: Simplify right side
    267,989.25x = 62,399,869,498.23
  5. Step 5: Solve for x
    x = 62,399,869,498.23/267,989.25
  6. Step 6: Final answer
    x = 232,844.67

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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.