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Finding the Fourth Proportional to 386,538.74, 533,265.96 and 259,255.34

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Solution

The fourth proportional to 386,538.74, 533,265.96 and 259,255.34 is: 357,666.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,538.74 : 533,265.96 = 259,255.34 : x
  2. Step 2: Convert to fraction form
    386,538.74/533,265.96 = 259,255.34/x
  3. Step 3: Cross multiply
    386,538.74x = 533,265.96 × 259,255.34
  4. Step 4: Simplify right side
    386,538.74x = 138,252,047,770.23
  5. Step 5: Solve for x
    x = 138,252,047,770.23/386,538.74
  6. Step 6: Final answer
    x = 357,666.73

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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.