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Finding the Fourth Proportional to 567,745.12, 783,461.90 and 325,857.44

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Solution

The fourth proportional to 567,745.12, 783,461.90 and 325,857.44 is: 449,668.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,745.12 : 783,461.90 = 325,857.44 : x
  2. Step 2: Convert to fraction form
    567,745.12/783,461.90 = 325,857.44/x
  3. Step 3: Cross multiply
    567,745.12x = 783,461.90 × 325,857.44
  4. Step 4: Simplify right side
    567,745.12x = 255,296,887,442.25
  5. Step 5: Solve for x
    x = 255,296,887,442.25/567,745.12
  6. Step 6: Final answer
    x = 449,668.14

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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.