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Finding the Fourth Proportional to 303,414.34, 454,971.75 and 93,001.54

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Solution

The fourth proportional to 303,414.34, 454,971.75 and 93,001.54 is: 139,456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,414.34 : 454,971.75 = 93,001.54 : x
  2. Step 2: Convert to fraction form
    303,414.34/454,971.75 = 93,001.54/x
  3. Step 3: Cross multiply
    303,414.34x = 454,971.75 × 93,001.54
  4. Step 4: Simplify right side
    303,414.34x = 42,313,073,406.50
  5. Step 5: Solve for x
    x = 42,313,073,406.50/303,414.34
  6. Step 6: Final answer
    x = 139,456.41

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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.