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Finding the Fourth Proportional to 382,030.31, 527,170.14 and 209,939.23

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Solution

The fourth proportional to 382,030.31, 527,170.14 and 209,939.23 is: 289,698.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,030.31 : 527,170.14 = 209,939.23 : x
  2. Step 2: Convert to fraction form
    382,030.31/527,170.14 = 209,939.23/x
  3. Step 3: Cross multiply
    382,030.31x = 527,170.14 × 209,939.23
  4. Step 4: Simplify right side
    382,030.31x = 110,673,693,270.59
  5. Step 5: Solve for x
    x = 110,673,693,270.59/382,030.31
  6. Step 6: Final answer
    x = 289,698.72

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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.