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Finding the Fourth Proportional to 411,797.93, 617,678.66 and 112,278.56

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Solution

The fourth proportional to 411,797.93, 617,678.66 and 112,278.56 is: 168,412.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,797.93 : 617,678.66 = 112,278.56 : x
  2. Step 2: Convert to fraction form
    411,797.93/617,678.66 = 112,278.56/x
  3. Step 3: Cross multiply
    411,797.93x = 617,678.66 × 112,278.56
  4. Step 4: Simplify right side
    411,797.93x = 69,352,067,679.83
  5. Step 5: Solve for x
    x = 69,352,067,679.83/411,797.93
  6. Step 6: Final answer
    x = 168,412.86

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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.