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Finding the Fourth Proportional to 511,398.28, 705,732.90 and 285,058.12

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Solution

The fourth proportional to 511,398.28, 705,732.90 and 285,058.12 is: 393,382.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,398.28 : 705,732.90 = 285,058.12 : x
  2. Step 2: Convert to fraction form
    511,398.28/705,732.90 = 285,058.12/x
  3. Step 3: Cross multiply
    511,398.28x = 705,732.90 × 285,058.12
  4. Step 4: Simplify right side
    511,398.28x = 201,174,893,696.15
  5. Step 5: Solve for x
    x = 201,174,893,696.15/511,398.28
  6. Step 6: Final answer
    x = 393,382.03

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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.