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Finding the Fourth Proportional to 336,213.20, 463,999.56 and 193,019.60

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Solution

The fourth proportional to 336,213.20, 463,999.56 and 193,019.60 is: 266,381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,213.20 : 463,999.56 = 193,019.60 : x
  2. Step 2: Convert to fraction form
    336,213.20/463,999.56 = 193,019.60/x
  3. Step 3: Cross multiply
    336,213.20x = 463,999.56 × 193,019.60
  4. Step 4: Simplify right side
    336,213.20x = 89,561,009,471.38
  5. Step 5: Solve for x
    x = 89,561,009,471.38/336,213.20
  6. Step 6: Final answer
    x = 266,381.60

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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.