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Finding the Fourth Proportional to 5,669,471.77, 8,504,239.65 and 1,409,640.46

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Solution

The fourth proportional to 5,669,471.77, 8,504,239.65 and 1,409,640.46 is: 2,114,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669,471.77 : 8,504,239.65 = 1,409,640.46 : x
  2. Step 2: Convert to fraction form
    5,669,471.77/8,504,239.65 = 1,409,640.46/x
  3. Step 3: Cross multiply
    5,669,471.77x = 8,504,239.65 × 1,409,640.46
  4. Step 4: Simplify right side
    5,669,471.77x = 11,987,920,292,176.24
  5. Step 5: Solve for x
    x = 11,987,920,292,176.24/5,669,471.77
  6. Step 6: Final answer
    x = 2,114,468.65

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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.