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Finding the Fourth Proportional to 468,693.75, 703,073.43 and 188,211

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Solution

The fourth proportional to 468,693.75, 703,073.43 and 188,211 is: 282,329.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,693.75 : 703,073.43 = 188,211 : x
  2. Step 2: Convert to fraction form
    468,693.75/703,073.43 = 188,211/x
  3. Step 3: Cross multiply
    468,693.75x = 703,073.43 × 188,211
  4. Step 4: Simplify right side
    468,693.75x = 132,326,153,333.73
  5. Step 5: Solve for x
    x = 132,326,153,333.73/468,693.75
  6. Step 6: Final answer
    x = 282,329.67

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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.