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Finding the Fourth Proportional to 523,656, 722,645.28 and 285,192

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Solution

The fourth proportional to 523,656, 722,645.28 and 285,192 is: 393,564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,656 : 722,645.28 = 285,192 : x
  2. Step 2: Convert to fraction form
    523,656/722,645.28 = 285,192/x
  3. Step 3: Cross multiply
    523,656x = 722,645.28 × 285,192
  4. Step 4: Simplify right side
    523,656x = 206,092,652,693.76
  5. Step 5: Solve for x
    x = 206,092,652,693.76/523,656
  6. Step 6: Final answer
    x = 393,564.96

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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.