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Finding the Fourth Proportional to 284,198.60, 426,578.16 and 151,079.96

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Solution

The fourth proportional to 284,198.60, 426,578.16 and 151,079.96 is: 226,768.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,198.60 : 426,578.16 = 151,079.96 : x
  2. Step 2: Convert to fraction form
    284,198.60/426,578.16 = 151,079.96/x
  3. Step 3: Cross multiply
    284,198.60x = 426,578.16 × 151,079.96
  4. Step 4: Simplify right side
    284,198.60x = 64,447,411,349.67
  5. Step 5: Solve for x
    x = 64,447,411,349.67/284,198.60
  6. Step 6: Final answer
    x = 226,768.93

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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.