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Finding the Fourth Proportional to 526,906.69, 727,133.43 and 285,189.20

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Solution

The fourth proportional to 526,906.69, 727,133.43 and 285,189.20 is: 393,562.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,906.69 : 727,133.43 = 285,189.20 : x
  2. Step 2: Convert to fraction form
    526,906.69/727,133.43 = 285,189.20/x
  3. Step 3: Cross multiply
    526,906.69x = 727,133.43 × 285,189.20
  4. Step 4: Simplify right side
    526,906.69x = 207,370,597,559.29
  5. Step 5: Solve for x
    x = 207,370,597,559.29/526,906.69
  6. Step 6: Final answer
    x = 393,562.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.