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Finding the Fourth Proportional to 312,953.13, 469,222.31 and 113,247.54

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Solution

The fourth proportional to 312,953.13, 469,222.31 and 113,247.54 is: 169,796.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,953.13 : 469,222.31 = 113,247.54 : x
  2. Step 2: Convert to fraction form
    312,953.13/469,222.31 = 113,247.54/x
  3. Step 3: Cross multiply
    312,953.13x = 469,222.31 × 113,247.54
  4. Step 4: Simplify right side
    312,953.13x = 53,138,272,603.74
  5. Step 5: Solve for x
    x = 53,138,272,603.74/312,953.13
  6. Step 6: Final answer
    x = 169,796.27

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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.