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Finding the Fourth Proportional to 354,047.22, 531,146.51 and 114,174.78

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Solution

The fourth proportional to 354,047.22, 531,146.51 and 114,174.78 is: 171,286.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,047.22 : 531,146.51 = 114,174.78 : x
  2. Step 2: Convert to fraction form
    354,047.22/531,146.51 = 114,174.78/x
  3. Step 3: Cross multiply
    354,047.22x = 531,146.51 × 114,174.78
  4. Step 4: Simplify right side
    354,047.22x = 60,643,535,927.02
  5. Step 5: Solve for x
    x = 60,643,535,927.02/354,047.22
  6. Step 6: Final answer
    x = 171,286.58

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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.