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Finding the Fourth Proportional to 474,057.78, 711,107.43 and 137,132.49

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Solution

The fourth proportional to 474,057.78, 711,107.43 and 137,132.49 is: 205,704.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,057.78 : 711,107.43 = 137,132.49 : x
  2. Step 2: Convert to fraction form
    474,057.78/711,107.43 = 137,132.49/x
  3. Step 3: Cross multiply
    474,057.78x = 711,107.43 × 137,132.49
  4. Step 4: Simplify right side
    474,057.78x = 97,515,932,533.40
  5. Step 5: Solve for x
    x = 97,515,932,533.40/474,057.78
  6. Step 6: Final answer
    x = 205,704.74

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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.