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Finding the Fourth Proportional to 375,439, 518,105.82 and 224,536

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Solution

The fourth proportional to 375,439, 518,105.82 and 224,536 is: 309,859.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,439 : 518,105.82 = 224,536 : x
  2. Step 2: Convert to fraction form
    375,439/518,105.82 = 224,536/x
  3. Step 3: Cross multiply
    375,439x = 518,105.82 × 224,536
  4. Step 4: Simplify right side
    375,439x = 116,333,408,399.52
  5. Step 5: Solve for x
    x = 116,333,408,399.52/375,439
  6. Step 6: Final answer
    x = 309,859.68

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