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Finding the Fourth Proportional to 397,002.82, 547,929.21 and 289,927.30

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Solution

The fourth proportional to 397,002.82, 547,929.21 and 289,927.30 is: 400,147.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,002.82 : 547,929.21 = 289,927.30 : x
  2. Step 2: Convert to fraction form
    397,002.82/547,929.21 = 289,927.30/x
  3. Step 3: Cross multiply
    397,002.82x = 547,929.21 × 289,927.30
  4. Step 4: Simplify right side
    397,002.82x = 158,859,636,446.43
  5. Step 5: Solve for x
    x = 158,859,636,446.43/397,002.82
  6. Step 6: Final answer
    x = 400,147.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.