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Finding the Fourth Proportional to 844,682.74, 1,165,662.12 and 462,709.42

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Solution

The fourth proportional to 844,682.74, 1,165,662.12 and 462,709.42 is: 638,538.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,682.74 : 1,165,662.12 = 462,709.42 : x
  2. Step 2: Convert to fraction form
    844,682.74/1,165,662.12 = 462,709.42/x
  3. Step 3: Cross multiply
    844,682.74x = 1,165,662.12 × 462,709.42
  4. Step 4: Simplify right side
    844,682.74x = 539,362,843,461.17
  5. Step 5: Solve for x
    x = 539,362,843,461.17/844,682.74
  6. Step 6: Final answer
    x = 638,538.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.