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Finding the Fourth Proportional to 515,029.56, 710,749.31 and 285,596.53

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Solution

The fourth proportional to 515,029.56, 710,749.31 and 285,596.53 is: 394,127.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,029.56 : 710,749.31 = 285,596.53 : x
  2. Step 2: Convert to fraction form
    515,029.56/710,749.31 = 285,596.53/x
  3. Step 3: Cross multiply
    515,029.56x = 710,749.31 × 285,596.53
  4. Step 4: Simplify right side
    515,029.56x = 202,987,538,232.24
  5. Step 5: Solve for x
    x = 202,987,538,232.24/515,029.56
  6. Step 6: Final answer
    x = 394,127.93

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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.