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Finding the Fourth Proportional to 366,811.42, 506,193.32 and 205,665.97

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Solution

The fourth proportional to 366,811.42, 506,193.32 and 205,665.97 is: 283,815.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,811.42 : 506,193.32 = 205,665.97 : x
  2. Step 2: Convert to fraction form
    366,811.42/506,193.32 = 205,665.97/x
  3. Step 3: Cross multiply
    366,811.42x = 506,193.32 × 205,665.97
  4. Step 4: Simplify right side
    366,811.42x = 104,106,736,606.02
  5. Step 5: Solve for x
    x = 104,106,736,606.02/366,811.42
  6. Step 6: Final answer
    x = 283,815.42

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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.