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Finding the Fourth Proportional to 417,266.34, 575,822.10 and 226,278.72

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Solution

The fourth proportional to 417,266.34, 575,822.10 and 226,278.72 is: 312,261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,266.34 : 575,822.10 = 226,278.72 : x
  2. Step 2: Convert to fraction form
    417,266.34/575,822.10 = 226,278.72/x
  3. Step 3: Cross multiply
    417,266.34x = 575,822.10 × 226,278.72
  4. Step 4: Simplify right side
    417,266.34x = 130,296,287,735.71
  5. Step 5: Solve for x
    x = 130,296,287,735.71/417,266.34
  6. Step 6: Final answer
    x = 312,261.68

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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.