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Finding the Fourth Proportional to 282,947.20, 390,396.48 and 182,224

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Solution

The fourth proportional to 282,947.20, 390,396.48 and 182,224 is: 251,423.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,947.20 : 390,396.48 = 182,224 : x
  2. Step 2: Convert to fraction form
    282,947.20/390,396.48 = 182,224/x
  3. Step 3: Cross multiply
    282,947.20x = 390,396.48 × 182,224
  4. Step 4: Simplify right side
    282,947.20x = 71,139,608,171.52
  5. Step 5: Solve for x
    x = 71,139,608,171.52/282,947.20
  6. Step 6: Final answer
    x = 251,423.62

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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.