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Finding the Fourth Proportional to 474,276.15, 711,415.43 and 193,793.40

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Solution

The fourth proportional to 474,276.15, 711,415.43 and 193,793.40 is: 290,690.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,276.15 : 711,415.43 = 193,793.40 : x
  2. Step 2: Convert to fraction form
    474,276.15/711,415.43 = 193,793.40/x
  3. Step 3: Cross multiply
    474,276.15x = 711,415.43 × 193,793.40
  4. Step 4: Simplify right side
    474,276.15x = 137,867,614,992.16
  5. Step 5: Solve for x
    x = 137,867,614,992.16/474,276.15
  6. Step 6: Final answer
    x = 290,690.59

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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.