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Finding the Fourth Proportional to 393,653.61, 590,574.12 and 127,414.10

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Solution

The fourth proportional to 393,653.61, 590,574.12 and 127,414.10 is: 191,151.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,653.61 : 590,574.12 = 127,414.10 : x
  2. Step 2: Convert to fraction form
    393,653.61/590,574.12 = 127,414.10/x
  3. Step 3: Cross multiply
    393,653.61x = 590,574.12 × 127,414.10
  4. Step 4: Simplify right side
    393,653.61x = 75,247,469,983.09
  5. Step 5: Solve for x
    x = 75,247,469,983.09/393,653.61
  6. Step 6: Final answer
    x = 191,151.48

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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.