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Finding the Fourth Proportional to 515,636.25, 711,578.28 and 286,193.63

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Solution

The fourth proportional to 515,636.25, 711,578.28 and 286,193.63 is: 394,947.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,636.25 : 711,578.28 = 286,193.63 : x
  2. Step 2: Convert to fraction form
    515,636.25/711,578.28 = 286,193.63/x
  3. Step 3: Cross multiply
    515,636.25x = 711,578.28 × 286,193.63
  4. Step 4: Simplify right side
    515,636.25x = 203,649,167,424.47
  5. Step 5: Solve for x
    x = 203,649,167,424.47/515,636.25
  6. Step 6: Final answer
    x = 394,947.34

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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.