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Finding the Fourth Proportional to 474,067.42, 711,008.35 and 394,615.76

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Solution

The fourth proportional to 474,067.42, 711,008.35 and 394,615.76 is: 591,846.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,067.42 : 711,008.35 = 394,615.76 : x
  2. Step 2: Convert to fraction form
    474,067.42/711,008.35 = 394,615.76/x
  3. Step 3: Cross multiply
    474,067.42x = 711,008.35 × 394,615.76
  4. Step 4: Simplify right side
    474,067.42x = 280,575,095,860.02
  5. Step 5: Solve for x
    x = 280,575,095,860.02/474,067.42
  6. Step 6: Final answer
    x = 591,846.40

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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.