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Finding the Fourth Proportional to 978,020.10, 1,466,872.74 and 267,882.06

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Solution

The fourth proportional to 978,020.10, 1,466,872.74 and 267,882.06 is: 401,779.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,020.10 : 1,466,872.74 = 267,882.06 : x
  2. Step 2: Convert to fraction form
    978,020.10/1,466,872.74 = 267,882.06/x
  3. Step 3: Cross multiply
    978,020.10x = 1,466,872.74 × 267,882.06
  4. Step 4: Simplify right side
    978,020.10x = 392,948,891,349.04
  5. Step 5: Solve for x
    x = 392,948,891,349.04/978,020.10
  6. Step 6: Final answer
    x = 401,779.98

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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.