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Finding the Fourth Proportional to 1,216,234.60, 1,824,351.90 and 1,027,277.80

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Solution

The fourth proportional to 1,216,234.60, 1,824,351.90 and 1,027,277.80 is: 1,540,916.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216,234.60 : 1,824,351.90 = 1,027,277.80 : x
  2. Step 2: Convert to fraction form
    1,216,234.60/1,824,351.90 = 1,027,277.80/x
  3. Step 3: Cross multiply
    1,216,234.60x = 1,824,351.90 × 1,027,277.80
  4. Step 4: Simplify right side
    1,216,234.60x = 1,874,116,206,257.82
  5. Step 5: Solve for x
    x = 1,874,116,206,257.82/1,216,234.60
  6. Step 6: Final answer
    x = 1,540,916.70

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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.