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Finding the Fourth Proportional to 474,781.14, 712,241.64 and 137,777.94

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Solution

The fourth proportional to 474,781.14, 712,241.64 and 137,777.94 is: 206,687.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,781.14 : 712,241.64 = 137,777.94 : x
  2. Step 2: Convert to fraction form
    474,781.14/712,241.64 = 137,777.94/x
  3. Step 3: Cross multiply
    474,781.14x = 712,241.64 × 137,777.94
  4. Step 4: Simplify right side
    474,781.14x = 98,131,185,941.42
  5. Step 5: Solve for x
    x = 98,131,185,941.42/474,781.14
  6. Step 6: Final answer
    x = 206,687.20

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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.