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Finding the Fourth Proportional to 314,866.98, 472,067.19 and 190,178.82

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Solution

The fourth proportional to 314,866.98, 472,067.19 and 190,178.82 is: 285,127.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,866.98 : 472,067.19 = 190,178.82 : x
  2. Step 2: Convert to fraction form
    314,866.98/472,067.19 = 190,178.82/x
  3. Step 3: Cross multiply
    314,866.98x = 472,067.19 × 190,178.82
  4. Step 4: Simplify right side
    314,866.98x = 89,777,181,154.92
  5. Step 5: Solve for x
    x = 89,777,181,154.92/314,866.98
  6. Step 6: Final answer
    x = 285,127.33

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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.