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Finding the Fourth Proportional to 417,039.06, 575,514.17 and 226,052.46

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Solution

The fourth proportional to 417,039.06, 575,514.17 and 226,052.46 is: 311,952.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,039.06 : 575,514.17 = 226,052.46 : x
  2. Step 2: Convert to fraction form
    417,039.06/575,514.17 = 226,052.46/x
  3. Step 3: Cross multiply
    417,039.06x = 575,514.17 × 226,052.46
  4. Step 4: Simplify right side
    417,039.06x = 130,096,392,763.10
  5. Step 5: Solve for x
    x = 130,096,392,763.10/417,039.06
  6. Step 6: Final answer
    x = 311,952.54

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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.