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Finding the Fourth Proportional to 286,514.10, 395,438.16 and 165,728.82

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Solution

The fourth proportional to 286,514.10, 395,438.16 and 165,728.82 is: 228,733.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,514.10 : 395,438.16 = 165,728.82 : x
  2. Step 2: Convert to fraction form
    286,514.10/395,438.16 = 165,728.82/x
  3. Step 3: Cross multiply
    286,514.10x = 395,438.16 × 165,728.82
  4. Step 4: Simplify right side
    286,514.10x = 65,535,499,639.77
  5. Step 5: Solve for x
    x = 65,535,499,639.77/286,514.10
  6. Step 6: Final answer
    x = 228,733.94

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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.