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Finding the Fourth Proportional to 312,200.20, 468,300.30 and 233,468.20

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Solution

The fourth proportional to 312,200.20, 468,300.30 and 233,468.20 is: 350,202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,200.20 : 468,300.30 = 233,468.20 : x
  2. Step 2: Convert to fraction form
    312,200.20/468,300.30 = 233,468.20/x
  3. Step 3: Cross multiply
    312,200.20x = 468,300.30 × 233,468.20
  4. Step 4: Simplify right side
    312,200.20x = 109,333,228,100.46
  5. Step 5: Solve for x
    x = 109,333,228,100.46/312,200.20
  6. Step 6: Final answer
    x = 350,202.30

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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.