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Finding the Fourth Proportional to 492,638.10, 738,082.35 and 461,145.30

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Solution

The fourth proportional to 492,638.10, 738,082.35 and 461,145.30 is: 690,899.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,638.10 : 738,082.35 = 461,145.30 : x
  2. Step 2: Convert to fraction form
    492,638.10/738,082.35 = 461,145.30/x
  3. Step 3: Cross multiply
    492,638.10x = 738,082.35 × 461,145.30
  4. Step 4: Simplify right side
    492,638.10x = 340,363,206,715.46
  5. Step 5: Solve for x
    x = 340,363,206,715.46/492,638.10
  6. Step 6: Final answer
    x = 690,899.07

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