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Finding the Fourth Proportional to 312,054.04, 467,796.72 and 112,327.48

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Solution

The fourth proportional to 312,054.04, 467,796.72 and 112,327.48 is: 168,388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,054.04 : 467,796.72 = 112,327.48 : x
  2. Step 2: Convert to fraction form
    312,054.04/467,796.72 = 112,327.48/x
  3. Step 3: Cross multiply
    312,054.04x = 467,796.72 × 112,327.48
  4. Step 4: Simplify right side
    312,054.04x = 52,546,426,709.87
  5. Step 5: Solve for x
    x = 52,546,426,709.87/312,054.04
  6. Step 6: Final answer
    x = 168,388.87

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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.