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Finding the Fourth Proportional to 5,978,231.80, 8,967,347.70 and 5,516,337.40

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Solution

The fourth proportional to 5,978,231.80, 8,967,347.70 and 5,516,337.40 is: 8,274,506.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978,231.80 : 8,967,347.70 = 5,516,337.40 : x
  2. Step 2: Convert to fraction form
    5,978,231.80/8,967,347.70 = 5,516,337.40/x
  3. Step 3: Cross multiply
    5,978,231.80x = 8,967,347.70 × 5,516,337.40
  4. Step 4: Simplify right side
    5,978,231.80x = 49,466,915,496,313.98
  5. Step 5: Solve for x
    x = 49,466,915,496,313.98/5,978,231.80
  6. Step 6: Final answer
    x = 8,274,506.10

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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.