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Finding the Fourth Proportional to 284,244, 426,335.76 and 150,982.80

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Solution

The fourth proportional to 284,244, 426,335.76 and 150,982.80 is: 226,458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,244 : 426,335.76 = 150,982.80 : x
  2. Step 2: Convert to fraction form
    284,244/426,335.76 = 150,982.80/x
  3. Step 3: Cross multiply
    284,244x = 426,335.76 × 150,982.80
  4. Step 4: Simplify right side
    284,244x = 64,369,366,784.93
  5. Step 5: Solve for x
    x = 64,369,366,784.93/284,244
  6. Step 6: Final answer
    x = 226,458.14

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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.