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Finding the Fourth Proportional to 565,187, 779,611.92 and 335,588.36

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Solution

The fourth proportional to 565,187, 779,611.92 and 335,588.36 is: 462,906.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,187 : 779,611.92 = 335,588.36 : x
  2. Step 2: Convert to fraction form
    565,187/779,611.92 = 335,588.36/x
  3. Step 3: Cross multiply
    565,187x = 779,611.92 × 335,588.36
  4. Step 4: Simplify right side
    565,187x = 261,628,685,669.25
  5. Step 5: Solve for x
    x = 261,628,685,669.25/565,187
  6. Step 6: Final answer
    x = 462,906.41

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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.