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Finding the Fourth Proportional to 377,022.02, 519,755 and 299,864.66

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Solution

The fourth proportional to 377,022.02, 519,755 and 299,864.66 is: 413,387.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,022.02 : 519,755 = 299,864.66 : x
  2. Step 2: Convert to fraction form
    377,022.02/519,755 = 299,864.66/x
  3. Step 3: Cross multiply
    377,022.02x = 519,755 × 299,864.66
  4. Step 4: Simplify right side
    377,022.02x = 155,856,156,358.30
  5. Step 5: Solve for x
    x = 155,856,156,358.30/377,022.02
  6. Step 6: Final answer
    x = 413,387.41

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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.