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Finding the Fourth Proportional to 303,211.84, 454,971.12 and 202,078.90

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Solution

The fourth proportional to 303,211.84, 454,971.12 and 202,078.90 is: 303,220.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,211.84 : 454,971.12 = 202,078.90 : x
  2. Step 2: Convert to fraction form
    303,211.84/454,971.12 = 202,078.90/x
  3. Step 3: Cross multiply
    303,211.84x = 454,971.12 × 202,078.90
  4. Step 4: Simplify right side
    303,211.84x = 91,940,063,461.37
  5. Step 5: Solve for x
    x = 91,940,063,461.37/303,211.84
  6. Step 6: Final answer
    x = 303,220.56

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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.