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Finding the Fourth Proportional to 471,872.62, 707,807.31 and 191,389.06

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Solution

The fourth proportional to 471,872.62, 707,807.31 and 191,389.06 is: 287,082.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,872.62 : 707,807.31 = 191,389.06 : x
  2. Step 2: Convert to fraction form
    471,872.62/707,807.31 = 191,389.06/x
  3. Step 3: Cross multiply
    471,872.62x = 707,807.31 × 191,389.06
  4. Step 4: Simplify right side
    471,872.62x = 135,466,575,722.03
  5. Step 5: Solve for x
    x = 135,466,575,722.03/471,872.62
  6. Step 6: Final answer
    x = 287,082.93

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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.