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Finding the Fourth Proportional to 312,683.12, 468,744.36 and 112,956.56

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Solution

The fourth proportional to 312,683.12, 468,744.36 and 112,956.56 is: 169,333.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,683.12 : 468,744.36 = 112,956.56 : x
  2. Step 2: Convert to fraction form
    312,683.12/468,744.36 = 112,956.56/x
  3. Step 3: Cross multiply
    312,683.12x = 468,744.36 × 112,956.56
  4. Step 4: Simplify right side
    312,683.12x = 52,947,750,425.00
  5. Step 5: Solve for x
    x = 52,947,750,425.00/312,683.12
  6. Step 6: Final answer
    x = 169,333.57

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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.