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Finding the Fourth Proportional to 536,507.26, 804,200.37 and 394,140.85

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Solution

The fourth proportional to 536,507.26, 804,200.37 and 394,140.85 is: 590,799.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,507.26 : 804,200.37 = 394,140.85 : x
  2. Step 2: Convert to fraction form
    536,507.26/804,200.37 = 394,140.85/x
  3. Step 3: Cross multiply
    536,507.26x = 804,200.37 × 394,140.85
  4. Step 4: Simplify right side
    536,507.26x = 316,968,217,402.12
  5. Step 5: Solve for x
    x = 316,968,217,402.12/536,507.26
  6. Step 6: Final answer
    x = 590,799.49

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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.