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Finding the Fourth Proportional to 442,424.57, 663,216.39 and 282,050.42

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Solution

The fourth proportional to 442,424.57, 663,216.39 and 282,050.42 is: 422,807.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,424.57 : 663,216.39 = 282,050.42 : x
  2. Step 2: Convert to fraction form
    442,424.57/663,216.39 = 282,050.42/x
  3. Step 3: Cross multiply
    442,424.57x = 663,216.39 × 282,050.42
  4. Step 4: Simplify right side
    442,424.57x = 187,060,461,350.38
  5. Step 5: Solve for x
    x = 187,060,461,350.38/442,424.57
  6. Step 6: Final answer
    x = 422,807.58

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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.