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Finding the Fourth Proportional to 474,300.88, 711,452.52 and 193,818.16

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Solution

The fourth proportional to 474,300.88, 711,452.52 and 193,818.16 is: 290,727.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,300.88 : 711,452.52 = 193,818.16 : x
  2. Step 2: Convert to fraction form
    474,300.88/711,452.52 = 193,818.16/x
  3. Step 3: Cross multiply
    474,300.88x = 711,452.52 × 193,818.16
  4. Step 4: Simplify right side
    474,300.88x = 137,892,418,353.76
  5. Step 5: Solve for x
    x = 137,892,418,353.76/474,300.88
  6. Step 6: Final answer
    x = 290,727.73

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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.