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Finding the Fourth Proportional to 1,367,900, 2,051,879.16 and 469,337.84

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Solution

The fourth proportional to 1,367,900, 2,051,879.16 and 469,337.84 is: 704,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367,900 : 2,051,879.16 = 469,337.84 : x
  2. Step 2: Convert to fraction form
    1,367,900/2,051,879.16 = 469,337.84/x
  3. Step 3: Cross multiply
    1,367,900x = 2,051,879.16 × 469,337.84
  4. Step 4: Simplify right side
    1,367,900x = 963,024,532,895.41
  5. Step 5: Solve for x
    x = 963,024,532,895.41/1,367,900
  6. Step 6: Final answer
    x = 704,016.77

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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.