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Finding the Fourth Proportional to 370,698.56, 511,564.23 and 200,932.68

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Solution

The fourth proportional to 370,698.56, 511,564.23 and 200,932.68 is: 277,287.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,698.56 : 511,564.23 = 200,932.68 : x
  2. Step 2: Convert to fraction form
    370,698.56/511,564.23 = 200,932.68/x
  3. Step 3: Cross multiply
    370,698.56x = 511,564.23 × 200,932.68
  4. Step 4: Simplify right side
    370,698.56x = 102,789,971,726.04
  5. Step 5: Solve for x
    x = 102,789,971,726.04/370,698.56
  6. Step 6: Final answer
    x = 277,287.22

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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.