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Finding the Fourth Proportional to 463,924.02, 695,545.82 and 148,198.98

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Solution

The fourth proportional to 463,924.02, 695,545.82 and 148,198.98 is: 222,189.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,924.02 : 695,545.82 = 148,198.98 : x
  2. Step 2: Convert to fraction form
    463,924.02/695,545.82 = 148,198.98/x
  3. Step 3: Cross multiply
    463,924.02x = 695,545.82 × 148,198.98
  4. Step 4: Simplify right side
    463,924.02x = 103,079,181,067.26
  5. Step 5: Solve for x
    x = 103,079,181,067.26/463,924.02
  6. Step 6: Final answer
    x = 222,189.79

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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.