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Finding the Fourth Proportional to 282,912.54, 390,419.38 and 155,596.74

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Solution

The fourth proportional to 282,912.54, 390,419.38 and 155,596.74 is: 214,723.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,912.54 : 390,419.38 = 155,596.74 : x
  2. Step 2: Convert to fraction form
    282,912.54/390,419.38 = 155,596.74/x
  3. Step 3: Cross multiply
    282,912.54x = 390,419.38 × 155,596.74
  4. Step 4: Simplify right side
    282,912.54x = 60,747,982,760.82
  5. Step 5: Solve for x
    x = 60,747,982,760.82/282,912.54
  6. Step 6: Final answer
    x = 214,723.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.