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Finding the Fourth Proportional to 416,689.06, 574,989.81 and 232,893.70

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Solution

The fourth proportional to 416,689.06, 574,989.81 and 232,893.70 is: 321,370.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,689.06 : 574,989.81 = 232,893.70 : x
  2. Step 2: Convert to fraction form
    416,689.06/574,989.81 = 232,893.70/x
  3. Step 3: Cross multiply
    416,689.06x = 574,989.81 × 232,893.70
  4. Step 4: Simplify right side
    416,689.06x = 133,911,504,313.20
  5. Step 5: Solve for x
    x = 133,911,504,313.20/416,689.06
  6. Step 6: Final answer
    x = 321,370.34

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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.