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Finding the Fourth Proportional to 360,894.11, 498,158.35 and 207,993.34

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Solution

The fourth proportional to 360,894.11, 498,158.35 and 207,993.34 is: 287,102.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,894.11 : 498,158.35 = 207,993.34 : x
  2. Step 2: Convert to fraction form
    360,894.11/498,158.35 = 207,993.34/x
  3. Step 3: Cross multiply
    360,894.11x = 498,158.35 × 207,993.34
  4. Step 4: Simplify right side
    360,894.11x = 103,613,621,739.14
  5. Step 5: Solve for x
    x = 103,613,621,739.14/360,894.11
  6. Step 6: Final answer
    x = 287,102.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.