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Finding the Fourth Proportional to 414,196.16, 621,424.65 and 147,950.78

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Solution

The fourth proportional to 414,196.16, 621,424.65 and 147,950.78 is: 221,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,196.16 : 621,424.65 = 147,950.78 : x
  2. Step 2: Convert to fraction form
    414,196.16/621,424.65 = 147,950.78/x
  3. Step 3: Cross multiply
    414,196.16x = 621,424.65 × 147,950.78
  4. Step 4: Simplify right side
    414,196.16x = 91,940,261,678.73
  5. Step 5: Solve for x
    x = 91,940,261,678.73/414,196.16
  6. Step 6: Final answer
    x = 221,972.75

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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.