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Finding the Fourth Proportional to 422,382.10, 633,800.73 and 306,989.14

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Solution

The fourth proportional to 422,382.10, 633,800.73 and 306,989.14 is: 460,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,382.10 : 633,800.73 = 306,989.14 : x
  2. Step 2: Convert to fraction form
    422,382.10/633,800.73 = 306,989.14/x
  3. Step 3: Cross multiply
    422,382.10x = 633,800.73 × 306,989.14
  4. Step 4: Simplify right side
    422,382.10x = 194,569,941,034.07
  5. Step 5: Solve for x
    x = 194,569,941,034.07/422,382.10
  6. Step 6: Final answer
    x = 460,649.12

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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.