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Finding the Fourth Proportional to 286,205.17, 395,034.73 and 165,422.29

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Solution

The fourth proportional to 286,205.17, 395,034.73 and 165,422.29 is: 228,324.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,205.17 : 395,034.73 = 165,422.29 : x
  2. Step 2: Convert to fraction form
    286,205.17/395,034.73 = 165,422.29/x
  3. Step 3: Cross multiply
    286,205.17x = 395,034.73 × 165,422.29
  4. Step 4: Simplify right side
    286,205.17x = 65,347,549,613.29
  5. Step 5: Solve for x
    x = 65,347,549,613.29/286,205.17
  6. Step 6: Final answer
    x = 228,324.14

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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.