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Finding the Fourth Proportional to 567,793.62, 849,918.96 and 418,202.82

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Solution

The fourth proportional to 567,793.62, 849,918.96 and 418,202.82 is: 625,999.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,793.62 : 849,918.96 = 418,202.82 : x
  2. Step 2: Convert to fraction form
    567,793.62/849,918.96 = 418,202.82/x
  3. Step 3: Cross multiply
    567,793.62x = 849,918.96 × 418,202.82
  4. Step 4: Simplify right side
    567,793.62x = 355,438,505,843.47
  5. Step 5: Solve for x
    x = 355,438,505,843.47/567,793.62
  6. Step 6: Final answer
    x = 625,999.47

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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.