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Finding the Fourth Proportional to 411,250.46, 616,887.84 and 111,729.47

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Solution

The fourth proportional to 411,250.46, 616,887.84 and 111,729.47 is: 167,597.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,250.46 : 616,887.84 = 111,729.47 : x
  2. Step 2: Convert to fraction form
    411,250.46/616,887.84 = 111,729.47/x
  3. Step 3: Cross multiply
    411,250.46x = 616,887.84 × 111,729.47
  4. Step 4: Simplify right side
    411,250.46x = 68,924,551,412.64
  5. Step 5: Solve for x
    x = 68,924,551,412.64/411,250.46
  6. Step 6: Final answer
    x = 167,597.51

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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.