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Finding the Fourth Proportional to 408,175.84, 563,243.52 and 378,082.72

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Solution

The fourth proportional to 408,175.84, 563,243.52 and 378,082.72 is: 521,717.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,175.84 : 563,243.52 = 378,082.72 : x
  2. Step 2: Convert to fraction form
    408,175.84/563,243.52 = 378,082.72/x
  3. Step 3: Cross multiply
    408,175.84x = 563,243.52 × 378,082.72
  4. Step 4: Simplify right side
    408,175.84x = 212,952,642,063.97
  5. Step 5: Solve for x
    x = 212,952,642,063.97/408,175.84
  6. Step 6: Final answer
    x = 521,717.90

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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.