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Finding the Fourth Proportional to 284,878.38, 393,116.18 and 155,791.20

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Solution

The fourth proportional to 284,878.38, 393,116.18 and 155,791.20 is: 214,983.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,878.38 : 393,116.18 = 155,791.20 : x
  2. Step 2: Convert to fraction form
    284,878.38/393,116.18 = 155,791.20/x
  3. Step 3: Cross multiply
    284,878.38x = 393,116.18 × 155,791.20
  4. Step 4: Simplify right side
    284,878.38x = 61,244,041,421.62
  5. Step 5: Solve for x
    x = 61,244,041,421.62/284,878.38
  6. Step 6: Final answer
    x = 214,983.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.