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Finding the Fourth Proportional to 468,082.40, 702,123.60 and 454,960.40

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Solution

The fourth proportional to 468,082.40, 702,123.60 and 454,960.40 is: 682,440.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,082.40 : 702,123.60 = 454,960.40 : x
  2. Step 2: Convert to fraction form
    468,082.40/702,123.60 = 454,960.40/x
  3. Step 3: Cross multiply
    468,082.40x = 702,123.60 × 454,960.40
  4. Step 4: Simplify right side
    468,082.40x = 319,438,433,905.44
  5. Step 5: Solve for x
    x = 319,438,433,905.44/468,082.40
  6. Step 6: Final answer
    x = 682,440.60

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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.