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Finding the Fourth Proportional to 360,664.50, 497,731.66 and 199,516.77

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Solution

The fourth proportional to 360,664.50, 497,731.66 and 199,516.77 is: 275,341.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,664.50 : 497,731.66 = 199,516.77 : x
  2. Step 2: Convert to fraction form
    360,664.50/497,731.66 = 199,516.77/x
  3. Step 3: Cross multiply
    360,664.50x = 497,731.66 × 199,516.77
  4. Step 4: Simplify right side
    360,664.50x = 99,305,813,192.29
  5. Step 5: Solve for x
    x = 99,305,813,192.29/360,664.50
  6. Step 6: Final answer
    x = 275,341.25

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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.