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Finding the Fourth Proportional to 284,732.64, 427,874.94 and 151,707.96

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Solution

The fourth proportional to 284,732.64, 427,874.94 and 151,707.96 is: 227,975.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,732.64 : 427,874.94 = 151,707.96 : x
  2. Step 2: Convert to fraction form
    284,732.64/427,874.94 = 151,707.96/x
  3. Step 3: Cross multiply
    284,732.64x = 427,874.94 × 151,707.96
  4. Step 4: Simplify right side
    284,732.64x = 64,912,034,282.52
  5. Step 5: Solve for x
    x = 64,912,034,282.52/284,732.64
  6. Step 6: Final answer
    x = 227,975.39

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Why These Related Problems?

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