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Finding the Fourth Proportional to 379,678.52, 523,966.92 and 209,923.58

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Solution

The fourth proportional to 379,678.52, 523,966.92 and 209,923.58 is: 289,700.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,678.52 : 523,966.92 = 209,923.58 : x
  2. Step 2: Convert to fraction form
    379,678.52/523,966.92 = 209,923.58/x
  3. Step 3: Cross multiply
    379,678.52x = 523,966.92 × 209,923.58
  4. Step 4: Simplify right side
    379,678.52x = 109,993,011,647.97
  5. Step 5: Solve for x
    x = 109,993,011,647.97/379,678.52
  6. Step 6: Final answer
    x = 289,700.38

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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.