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Finding the Fourth Proportional to 274,829.52, 411,707.40 and 189,425.20

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Solution

The fourth proportional to 274,829.52, 411,707.40 and 189,425.20 is: 283,767.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,829.52 : 411,707.40 = 189,425.20 : x
  2. Step 2: Convert to fraction form
    274,829.52/411,707.40 = 189,425.20/x
  3. Step 3: Cross multiply
    274,829.52x = 411,707.40 × 189,425.20
  4. Step 4: Simplify right side
    274,829.52x = 77,987,756,586.48
  5. Step 5: Solve for x
    x = 77,987,756,586.48/274,829.52
  6. Step 6: Final answer
    x = 283,767.76

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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.