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Finding the Fourth Proportional to 274,448.08, 411,614.52 and 77,410

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Solution

The fourth proportional to 274,448.08, 411,614.52 and 77,410 is: 116,098.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,448.08 : 411,614.52 = 77,410 : x
  2. Step 2: Convert to fraction form
    274,448.08/411,614.52 = 77,410/x
  3. Step 3: Cross multiply
    274,448.08x = 411,614.52 × 77,410
  4. Step 4: Simplify right side
    274,448.08x = 31,863,079,993.20
  5. Step 5: Solve for x
    x = 31,863,079,993.20/274,448.08
  6. Step 6: Final answer
    x = 116,098.75

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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.