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Finding the Fourth Proportional to 410,944.37, 567,105.32 and 229,659.33

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Solution

The fourth proportional to 410,944.37, 567,105.32 and 229,659.33 is: 316,931.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,944.37 : 567,105.32 = 229,659.33 : x
  2. Step 2: Convert to fraction form
    410,944.37/567,105.32 = 229,659.33/x
  3. Step 3: Cross multiply
    410,944.37x = 567,105.32 × 229,659.33
  4. Step 4: Simplify right side
    410,944.37x = 130,241,027,830.64
  5. Step 5: Solve for x
    x = 130,241,027,830.64/410,944.37
  6. Step 6: Final answer
    x = 316,931.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.