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Finding the Fourth Proportional to 417,199.64, 575,736.60 and 226,213.04

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Solution

The fourth proportional to 417,199.64, 575,736.60 and 226,213.04 is: 312,174.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,199.64 : 575,736.60 = 226,213.04 : x
  2. Step 2: Convert to fraction form
    417,199.64/575,736.60 = 226,213.04/x
  3. Step 3: Cross multiply
    417,199.64x = 575,736.60 × 226,213.04
  4. Step 4: Simplify right side
    417,199.64x = 130,239,126,525.26
  5. Step 5: Solve for x
    x = 130,239,126,525.26/417,199.64
  6. Step 6: Final answer
    x = 312,174.59

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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.