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Finding the Fourth Proportional to 566,598, 782,607.39 and 411,301.44

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Solution

The fourth proportional to 566,598, 782,607.39 and 411,301.44 is: 568,105.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,598 : 782,607.39 = 411,301.44 : x
  2. Step 2: Convert to fraction form
    566,598/782,607.39 = 411,301.44/x
  3. Step 3: Cross multiply
    566,598x = 782,607.39 × 411,301.44
  4. Step 4: Simplify right side
    566,598x = 321,887,540,492.10
  5. Step 5: Solve for x
    x = 321,887,540,492.10/566,598
  6. Step 6: Final answer
    x = 568,105.68

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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.