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Finding the Fourth Proportional to 417,195.07, 575,723.64 and 226,204.36

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Solution

The fourth proportional to 417,195.07, 575,723.64 and 226,204.36 is: 312,159.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,195.07 : 575,723.64 = 226,204.36 : x
  2. Step 2: Convert to fraction form
    417,195.07/575,723.64 = 226,204.36/x
  3. Step 3: Cross multiply
    417,195.07x = 575,723.64 × 226,204.36
  4. Step 4: Simplify right side
    417,195.07x = 130,231,197,523.07
  5. Step 5: Solve for x
    x = 130,231,197,523.07/417,195.07
  6. Step 6: Final answer
    x = 312,159.00

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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.