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Finding the Fourth Proportional to 410,042.93, 565,356.51 and 337,191.22

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Solution

The fourth proportional to 410,042.93, 565,356.51 and 337,191.22 is: 464,910.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,042.93 : 565,356.51 = 337,191.22 : x
  2. Step 2: Convert to fraction form
    410,042.93/565,356.51 = 337,191.22/x
  3. Step 3: Cross multiply
    410,042.93x = 565,356.51 × 337,191.22
  4. Step 4: Simplify right side
    410,042.93x = 190,633,252,048.54
  5. Step 5: Solve for x
    x = 190,633,252,048.54/410,042.93
  6. Step 6: Final answer
    x = 464,910.48

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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.