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Finding the Fourth Proportional to 523,669.11, 785,520.68 and 144,618.27

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Solution

The fourth proportional to 523,669.11, 785,520.68 and 144,618.27 is: 216,932.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,669.11 : 785,520.68 = 144,618.27 : x
  2. Step 2: Convert to fraction form
    523,669.11/785,520.68 = 144,618.27/x
  3. Step 3: Cross multiply
    523,669.11x = 785,520.68 × 144,618.27
  4. Step 4: Simplify right side
    523,669.11x = 113,600,641,067.73
  5. Step 5: Solve for x
    x = 113,600,641,067.73/523,669.11
  6. Step 6: Final answer
    x = 216,932.10

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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.