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Finding the Fourth Proportional to 417,274.41, 575,833.62 and 226,285.59

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Solution

The fourth proportional to 417,274.41, 575,833.62 and 226,285.59 is: 312,271.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,274.41 : 575,833.62 = 226,285.59 : x
  2. Step 2: Convert to fraction form
    417,274.41/575,833.62 = 226,285.59/x
  3. Step 3: Cross multiply
    417,274.41x = 575,833.62 × 226,285.59
  4. Step 4: Simplify right side
    417,274.41x = 130,302,850,443.54
  5. Step 5: Solve for x
    x = 130,302,850,443.54/417,274.41
  6. Step 6: Final answer
    x = 312,271.37

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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.