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Finding the Fourth Proportional to 505,836.30, 758,805.45 and 164,265.42

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Solution

The fourth proportional to 505,836.30, 758,805.45 and 164,265.42 is: 246,414.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,836.30 : 758,805.45 = 164,265.42 : x
  2. Step 2: Convert to fraction form
    505,836.30/758,805.45 = 164,265.42/x
  3. Step 3: Cross multiply
    505,836.30x = 758,805.45 × 164,265.42
  4. Step 4: Simplify right side
    505,836.30x = 124,645,495,942.54
  5. Step 5: Solve for x
    x = 124,645,495,942.54/505,836.30
  6. Step 6: Final answer
    x = 246,414.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.