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Finding the Fourth Proportional to 638,105.48, 879,374.26 and 456,502.09

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Solution

The fourth proportional to 638,105.48, 879,374.26 and 456,502.09 is: 629,106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,105.48 : 879,374.26 = 456,502.09 : x
  2. Step 2: Convert to fraction form
    638,105.48/879,374.26 = 456,502.09/x
  3. Step 3: Cross multiply
    638,105.48x = 879,374.26 × 456,502.09
  4. Step 4: Simplify right side
    638,105.48x = 401,436,187,582.20
  5. Step 5: Solve for x
    x = 401,436,187,582.20/638,105.48
  6. Step 6: Final answer
    x = 629,106.32

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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.