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Finding the Fourth Proportional to 474,282.38, 711,432.83 and 174,608.70

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Solution

The fourth proportional to 474,282.38, 711,432.83 and 174,608.70 is: 261,916.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,282.38 : 711,432.83 = 174,608.70 : x
  2. Step 2: Convert to fraction form
    474,282.38/711,432.83 = 174,608.70/x
  3. Step 3: Cross multiply
    474,282.38x = 711,432.83 × 174,608.70
  4. Step 4: Simplify right side
    474,282.38x = 124,222,361,583.62
  5. Step 5: Solve for x
    x = 124,222,361,583.62/474,282.38
  6. Step 6: Final answer
    x = 261,916.46

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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.