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Finding the Fourth Proportional to 375,334, 517,964.57 and 224,431

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Solution

The fourth proportional to 375,334, 517,964.57 and 224,431 is: 309,716.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,334 : 517,964.57 = 224,431 : x
  2. Step 2: Convert to fraction form
    375,334/517,964.57 = 224,431/x
  3. Step 3: Cross multiply
    375,334x = 517,964.57 × 224,431
  4. Step 4: Simplify right side
    375,334x = 116,247,306,409.67
  5. Step 5: Solve for x
    x = 116,247,306,409.67/375,334
  6. Step 6: Final answer
    x = 309,716.96

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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.