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Finding the Fourth Proportional to 797,262, 1,195,897.32 and 206,286

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Solution

The fourth proportional to 797,262, 1,195,897.32 and 206,286 is: 309,430.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,262 : 1,195,897.32 = 206,286 : x
  2. Step 2: Convert to fraction form
    797,262/1,195,897.32 = 206,286/x
  3. Step 3: Cross multiply
    797,262x = 1,195,897.32 × 206,286
  4. Step 4: Simplify right side
    797,262x = 246,696,874,553.52
  5. Step 5: Solve for x
    x = 246,696,874,553.52/797,262
  6. Step 6: Final answer
    x = 309,430.12

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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.