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Finding the Fourth Proportional to 393,090.60, 588,761.10 and 384,342.60

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Solution

The fourth proportional to 393,090.60, 588,761.10 and 384,342.60 is: 575,658.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,090.60 : 588,761.10 = 384,342.60 : x
  2. Step 2: Convert to fraction form
    393,090.60/588,761.10 = 384,342.60/x
  3. Step 3: Cross multiply
    393,090.60x = 588,761.10 × 384,342.60
  4. Step 4: Simplify right side
    393,090.60x = 226,285,971,952.86
  5. Step 5: Solve for x
    x = 226,285,971,952.86/393,090.60
  6. Step 6: Final answer
    x = 575,658.57

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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.