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Finding the Fourth Proportional to 566,599, 782,608.77 and 411,302.44

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Solution

The fourth proportional to 566,599, 782,608.77 and 411,302.44 is: 568,107.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,599 : 782,608.77 = 411,302.44 : x
  2. Step 2: Convert to fraction form
    566,599/782,608.77 = 411,302.44/x
  3. Step 3: Cross multiply
    566,599x = 782,608.77 × 411,302.44
  4. Step 4: Simplify right side
    566,599x = 321,888,890,696.84
  5. Step 5: Solve for x
    x = 321,888,890,696.84/566,599
  6. Step 6: Final answer
    x = 568,107.06

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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.