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Finding the Fourth Proportional to 468,082.10, 702,123.15 and 279,125.30

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Solution

The fourth proportional to 468,082.10, 702,123.15 and 279,125.30 is: 418,687.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,082.10 : 702,123.15 = 279,125.30 : x
  2. Step 2: Convert to fraction form
    468,082.10/702,123.15 = 279,125.30/x
  3. Step 3: Cross multiply
    468,082.10x = 702,123.15 × 279,125.30
  4. Step 4: Simplify right side
    468,082.10x = 195,980,334,880.70
  5. Step 5: Solve for x
    x = 195,980,334,880.70/468,082.10
  6. Step 6: Final answer
    x = 418,687.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.