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Finding the Fourth Proportional to 417,076.40, 575,566.20 and 226,089.20

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Solution

The fourth proportional to 417,076.40, 575,566.20 and 226,089.20 is: 312,003.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,076.40 : 575,566.20 = 226,089.20 : x
  2. Step 2: Convert to fraction form
    417,076.40/575,566.20 = 226,089.20/x
  3. Step 3: Cross multiply
    417,076.40x = 575,566.20 × 226,089.20
  4. Step 4: Simplify right side
    417,076.40x = 130,129,301,705.04
  5. Step 5: Solve for x
    x = 130,129,301,705.04/417,076.40
  6. Step 6: Final answer
    x = 312,003.51

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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.