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Finding the Fourth Proportional to 1,738,672.70, 2,604,509.85 and 1,206,794.30

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Solution

The fourth proportional to 1,738,672.70, 2,604,509.85 and 1,206,794.30 is: 1,807,762.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738,672.70 : 2,604,509.85 = 1,206,794.30 : x
  2. Step 2: Convert to fraction form
    1,738,672.70/2,604,509.85 = 1,206,794.30/x
  3. Step 3: Cross multiply
    1,738,672.70x = 2,604,509.85 × 1,206,794.30
  4. Step 4: Simplify right side
    1,738,672.70x = 3,143,107,641,273.86
  5. Step 5: Solve for x
    x = 3,143,107,641,273.86/1,738,672.70
  6. Step 6: Final answer
    x = 1,807,762.69

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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.