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Finding the Fourth Proportional to 515,958.07, 712,039.95 and 286,519.20

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Solution

The fourth proportional to 515,958.07, 712,039.95 and 286,519.20 is: 395,406.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,958.07 : 712,039.95 = 286,519.20 : x
  2. Step 2: Convert to fraction form
    515,958.07/712,039.95 = 286,519.20/x
  3. Step 3: Cross multiply
    515,958.07x = 712,039.95 × 286,519.20
  4. Step 4: Simplify right side
    515,958.07x = 204,013,116,842.04
  5. Step 5: Solve for x
    x = 204,013,116,842.04/515,958.07
  6. Step 6: Final answer
    x = 395,406.39

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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.