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Finding the Fourth Proportional to 367,140.84, 506,663.09 and 206,007.81

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Solution

The fourth proportional to 367,140.84, 506,663.09 and 206,007.81 is: 284,295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,140.84 : 506,663.09 = 206,007.81 : x
  2. Step 2: Convert to fraction form
    367,140.84/506,663.09 = 206,007.81/x
  3. Step 3: Cross multiply
    367,140.84x = 506,663.09 × 206,007.81
  4. Step 4: Simplify right side
    367,140.84x = 104,376,553,578.73
  5. Step 5: Solve for x
    x = 104,376,553,578.73/367,140.84
  6. Step 6: Final answer
    x = 284,295.68

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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.