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Finding the Fourth Proportional to 5,161,472.90, 7,741,709.06 and 1,567,271.44

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Solution

The fourth proportional to 5,161,472.90, 7,741,709.06 and 1,567,271.44 is: 2,350,755.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161,472.90 : 7,741,709.06 = 1,567,271.44 : x
  2. Step 2: Convert to fraction form
    5,161,472.90/7,741,709.06 = 1,567,271.44/x
  3. Step 3: Cross multiply
    5,161,472.90x = 7,741,709.06 × 1,567,271.44
  4. Step 4: Simplify right side
    5,161,472.90x = 12,133,359,510,445.42
  5. Step 5: Solve for x
    x = 12,133,359,510,445.42/5,161,472.90
  6. Step 6: Final answer
    x = 2,350,755.25

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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.