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Finding the Fourth Proportional to 474,204.96, 711,306.63 and 221,400.72

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Solution

The fourth proportional to 474,204.96, 711,306.63 and 221,400.72 is: 332,100.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,204.96 : 711,306.63 = 221,400.72 : x
  2. Step 2: Convert to fraction form
    474,204.96/711,306.63 = 221,400.72/x
  3. Step 3: Cross multiply
    474,204.96x = 711,306.63 × 221,400.72
  4. Step 4: Simplify right side
    474,204.96x = 157,483,800,022.77
  5. Step 5: Solve for x
    x = 157,483,800,022.77/474,204.96
  6. Step 6: Final answer
    x = 332,100.70

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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.