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Finding the Fourth Proportional to 474,203.46, 711,304.38 and 221,399.22

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Solution

The fourth proportional to 474,203.46, 711,304.38 and 221,399.22 is: 332,098.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,203.46 : 711,304.38 = 221,399.22 : x
  2. Step 2: Convert to fraction form
    474,203.46/711,304.38 = 221,399.22/x
  3. Step 3: Cross multiply
    474,203.46x = 711,304.38 × 221,399.22
  4. Step 4: Simplify right side
    474,203.46x = 157,482,234,914.58
  5. Step 5: Solve for x
    x = 157,482,234,914.58/474,203.46
  6. Step 6: Final answer
    x = 332,098.45

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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.