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Finding the Fourth Proportional to 370,633.54, 511,460.58 and 200,864.02

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Solution

The fourth proportional to 370,633.54, 511,460.58 and 200,864.02 is: 277,184.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,633.54 : 511,460.58 = 200,864.02 : x
  2. Step 2: Convert to fraction form
    370,633.54/511,460.58 = 200,864.02/x
  3. Step 3: Cross multiply
    370,633.54x = 511,460.58 × 200,864.02
  4. Step 4: Simplify right side
    370,633.54x = 102,734,028,170.33
  5. Step 5: Solve for x
    x = 102,734,028,170.33/370,633.54
  6. Step 6: Final answer
    x = 277,184.92

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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.