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Finding the Fourth Proportional to 312,241.66, 468,363.72 and 75,583.96

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Solution

The fourth proportional to 312,241.66, 468,363.72 and 75,583.96 is: 113,376.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,241.66 : 468,363.72 = 75,583.96 : x
  2. Step 2: Convert to fraction form
    312,241.66/468,363.72 = 75,583.96/x
  3. Step 3: Cross multiply
    312,241.66x = 468,363.72 × 75,583.96
  4. Step 4: Simplify right side
    312,241.66x = 35,400,784,677.93
  5. Step 5: Solve for x
    x = 35,400,784,677.93/312,241.66
  6. Step 6: Final answer
    x = 113,376.24

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Why These Related Problems?

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