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Finding the Fourth Proportional to 286,598.96, 395,514.60 and 165,728.60

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Solution

The fourth proportional to 286,598.96, 395,514.60 and 165,728.60 is: 228,710.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,598.96 : 395,514.60 = 165,728.60 : x
  2. Step 2: Convert to fraction form
    286,598.96/395,514.60 = 165,728.60/x
  3. Step 3: Cross multiply
    286,598.96x = 395,514.60 × 165,728.60
  4. Step 4: Simplify right side
    286,598.96x = 65,548,080,937.56
  5. Step 5: Solve for x
    x = 65,548,080,937.56/286,598.96
  6. Step 6: Final answer
    x = 228,710.11

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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.