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Finding the Fourth Proportional to 312,209.70, 468,314.55 and 233,477.70

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Solution

The fourth proportional to 312,209.70, 468,314.55 and 233,477.70 is: 350,216.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,209.70 : 468,314.55 = 233,477.70 : x
  2. Step 2: Convert to fraction form
    312,209.70/468,314.55 = 233,477.70/x
  3. Step 3: Cross multiply
    312,209.70x = 468,314.55 × 233,477.70
  4. Step 4: Simplify right side
    312,209.70x = 109,341,004,010.54
  5. Step 5: Solve for x
    x = 109,341,004,010.54/312,209.70
  6. Step 6: Final answer
    x = 350,216.55

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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.