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Finding the Fourth Proportional to 312,593.12, 468,600.48 and 123,156.32

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Solution

The fourth proportional to 312,593.12, 468,600.48 and 123,156.32 is: 184,620.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,593.12 : 468,600.48 = 123,156.32 : x
  2. Step 2: Convert to fraction form
    312,593.12/468,600.48 = 123,156.32/x
  3. Step 3: Cross multiply
    312,593.12x = 468,600.48 × 123,156.32
  4. Step 4: Simplify right side
    312,593.12x = 57,711,110,667.03
  5. Step 5: Solve for x
    x = 57,711,110,667.03/312,593.12
  6. Step 6: Final answer
    x = 184,620.54

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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.