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Finding the Fourth Proportional to 474,270.81, 711,353.82 and 119,284.97

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Solution

The fourth proportional to 474,270.81, 711,353.82 and 119,284.97 is: 178,914.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,270.81 : 711,353.82 = 119,284.97 : x
  2. Step 2: Convert to fraction form
    474,270.81/711,353.82 = 119,284.97/x
  3. Step 3: Cross multiply
    474,270.81x = 711,353.82 × 119,284.97
  4. Step 4: Simplify right side
    474,270.81x = 84,853,820,856.47
  5. Step 5: Solve for x
    x = 84,853,820,856.47/474,270.81
  6. Step 6: Final answer
    x = 178,914.28

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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.