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Finding the Fourth Proportional to 322,800.24, 484,200.40 and 86,143.76

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Solution

The fourth proportional to 322,800.24, 484,200.40 and 86,143.76 is: 129,215.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,800.24 : 484,200.40 = 86,143.76 : x
  2. Step 2: Convert to fraction form
    322,800.24/484,200.40 = 86,143.76/x
  3. Step 3: Cross multiply
    322,800.24x = 484,200.40 × 86,143.76
  4. Step 4: Simplify right side
    322,800.24x = 41,710,843,049.50
  5. Step 5: Solve for x
    x = 41,710,843,049.50/322,800.24
  6. Step 6: Final answer
    x = 129,215.65

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