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Finding the Fourth Proportional to 538,218.87, 807,646.18 and 196,631.93

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Solution

The fourth proportional to 538,218.87, 807,646.18 and 196,631.93 is: 295,064.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,218.87 : 807,646.18 = 196,631.93 : x
  2. Step 2: Convert to fraction form
    538,218.87/807,646.18 = 196,631.93/x
  3. Step 3: Cross multiply
    538,218.87x = 807,646.18 × 196,631.93
  4. Step 4: Simplify right side
    538,218.87x = 158,809,022,109.14
  5. Step 5: Solve for x
    x = 158,809,022,109.14/538,218.87
  6. Step 6: Final answer
    x = 295,064.02

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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.