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Finding the Fourth Proportional to 312,674.14, 468,777.93 and 146,423.26

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Solution

The fourth proportional to 312,674.14, 468,777.93 and 146,423.26 is: 219,525.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,674.14 : 468,777.93 = 146,423.26 : x
  2. Step 2: Convert to fraction form
    312,674.14/468,777.93 = 146,423.26/x
  3. Step 3: Cross multiply
    312,674.14x = 468,777.93 × 146,423.26
  4. Step 4: Simplify right side
    312,674.14x = 68,639,992,726.65
  5. Step 5: Solve for x
    x = 68,639,992,726.65/312,674.14
  6. Step 6: Final answer
    x = 219,525.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.