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Finding the Fourth Proportional to 617,077.80, 925,616.70 and 196,396.20

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Solution

The fourth proportional to 617,077.80, 925,616.70 and 196,396.20 is: 294,594.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,077.80 : 925,616.70 = 196,396.20 : x
  2. Step 2: Convert to fraction form
    617,077.80/925,616.70 = 196,396.20/x
  3. Step 3: Cross multiply
    617,077.80x = 925,616.70 × 196,396.20
  4. Step 4: Simplify right side
    617,077.80x = 181,787,602,536.54
  5. Step 5: Solve for x
    x = 181,787,602,536.54/617,077.80
  6. Step 6: Final answer
    x = 294,594.30

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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.