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Finding the Fourth Proportional to 511,833.24, 706,328.10 and 285,478.56

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Solution

The fourth proportional to 511,833.24, 706,328.10 and 285,478.56 is: 393,959.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,833.24 : 706,328.10 = 285,478.56 : x
  2. Step 2: Convert to fraction form
    511,833.24/706,328.10 = 285,478.56/x
  3. Step 3: Cross multiply
    511,833.24x = 706,328.10 × 285,478.56
  4. Step 4: Simplify right side
    511,833.24x = 201,641,528,875.54
  5. Step 5: Solve for x
    x = 201,641,528,875.54/511,833.24
  6. Step 6: Final answer
    x = 393,959.42

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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.