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Finding the Fourth Proportional to 536,820.90, 804,540.15 and 411,540.90

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Solution

The fourth proportional to 536,820.90, 804,540.15 and 411,540.90 is: 616,781.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,820.90 : 804,540.15 = 411,540.90 : x
  2. Step 2: Convert to fraction form
    536,820.90/804,540.15 = 411,540.90/x
  3. Step 3: Cross multiply
    536,820.90x = 804,540.15 × 411,540.90
  4. Step 4: Simplify right side
    536,820.90x = 331,101,177,417.14
  5. Step 5: Solve for x
    x = 331,101,177,417.14/536,820.90
  6. Step 6: Final answer
    x = 616,781.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.