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Finding the Fourth Proportional to 284,881.07, 427,163.91 and 116,519.60

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Solution

The fourth proportional to 284,881.07, 427,163.91 and 116,519.60 is: 174,714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,881.07 : 427,163.91 = 116,519.60 : x
  2. Step 2: Convert to fraction form
    284,881.07/427,163.91 = 116,519.60/x
  3. Step 3: Cross multiply
    284,881.07x = 427,163.91 × 116,519.60
  4. Step 4: Simplify right side
    284,881.07x = 49,772,967,927.64
  5. Step 5: Solve for x
    x = 49,772,967,927.64/284,881.07
  6. Step 6: Final answer
    x = 174,714.90

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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.