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Finding the Fourth Proportional to 474,104.70, 711,157.68 and 193,622.04

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Solution

The fourth proportional to 474,104.70, 711,157.68 and 193,622.04 is: 290,433.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,104.70 : 711,157.68 = 193,622.04 : x
  2. Step 2: Convert to fraction form
    474,104.70/711,157.68 = 193,622.04/x
  3. Step 3: Cross multiply
    474,104.70x = 711,157.68 × 193,622.04
  4. Step 4: Simplify right side
    474,104.70x = 137,695,800,763.27
  5. Step 5: Solve for x
    x = 137,695,800,763.27/474,104.70
  6. Step 6: Final answer
    x = 290,433.32

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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.