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Finding the Fourth Proportional to 312,195.70, 468,293.55 and 233,463.70

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Solution

The fourth proportional to 312,195.70, 468,293.55 and 233,463.70 is: 350,195.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,195.70 : 468,293.55 = 233,463.70 : x
  2. Step 2: Convert to fraction form
    312,195.70/468,293.55 = 233,463.70/x
  3. Step 3: Cross multiply
    312,195.70x = 468,293.55 × 233,463.70
  4. Step 4: Simplify right side
    312,195.70x = 109,329,544,869.14
  5. Step 5: Solve for x
    x = 109,329,544,869.14/312,195.70
  6. Step 6: Final answer
    x = 350,195.55

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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.