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Finding the Fourth Proportional to 474,166.71, 711,251.69 and 119,178.54

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Solution

The fourth proportional to 474,166.71, 711,251.69 and 119,178.54 is: 178,768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,166.71 : 711,251.69 = 119,178.54 : x
  2. Step 2: Convert to fraction form
    474,166.71/711,251.69 = 119,178.54/x
  3. Step 3: Cross multiply
    474,166.71x = 711,251.69 × 119,178.54
  4. Step 4: Simplify right side
    474,166.71x = 84,765,937,390.84
  5. Step 5: Solve for x
    x = 84,765,937,390.84/474,166.71
  6. Step 6: Final answer
    x = 178,768.22

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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.