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Finding the Fourth Proportional to 354,710.48, 531,766.08 and 165,073

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Solution

The fourth proportional to 354,710.48, 531,766.08 and 165,073 is: 247,470.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,710.48 : 531,766.08 = 165,073 : x
  2. Step 2: Convert to fraction form
    354,710.48/531,766.08 = 165,073/x
  3. Step 3: Cross multiply
    354,710.48x = 531,766.08 × 165,073
  4. Step 4: Simplify right side
    354,710.48x = 87,780,222,123.84
  5. Step 5: Solve for x
    x = 87,780,222,123.84/354,710.48
  6. Step 6: Final answer
    x = 247,470.06

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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.