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Finding the Fourth Proportional to 417,085.40, 575,578.62 and 226,098.20

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Solution

The fourth proportional to 417,085.40, 575,578.62 and 226,098.20 is: 312,015.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,085.40 : 575,578.62 = 226,098.20 : x
  2. Step 2: Convert to fraction form
    417,085.40/575,578.62 = 226,098.20/x
  3. Step 3: Cross multiply
    417,085.40x = 575,578.62 × 226,098.20
  4. Step 4: Simplify right side
    417,085.40x = 130,137,289,940.48
  5. Step 5: Solve for x
    x = 130,137,289,940.48/417,085.40
  6. Step 6: Final answer
    x = 312,015.93

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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.