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Finding the Fourth Proportional to 312,350.85, 468,467.17 and 152,266.10

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Solution

The fourth proportional to 312,350.85, 468,467.17 and 152,266.10 is: 228,370.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,350.85 : 468,467.17 = 152,266.10 : x
  2. Step 2: Convert to fraction form
    312,350.85/468,467.17 = 152,266.10/x
  3. Step 3: Cross multiply
    312,350.85x = 468,467.17 × 152,266.10
  4. Step 4: Simplify right side
    312,350.85x = 71,331,666,230.94
  5. Step 5: Solve for x
    x = 71,331,666,230.94/312,350.85
  6. Step 6: Final answer
    x = 228,370.33

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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.