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Finding the Fourth Proportional to 516,189.44, 712,321.63 and 286,761.15

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Solution

The fourth proportional to 516,189.44, 712,321.63 and 286,761.15 is: 395,719.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,189.44 : 712,321.63 = 286,761.15 : x
  2. Step 2: Convert to fraction form
    516,189.44/712,321.63 = 286,761.15/x
  3. Step 3: Cross multiply
    516,189.44x = 712,321.63 × 286,761.15
  4. Step 4: Simplify right side
    516,189.44x = 204,266,169,071.77
  5. Step 5: Solve for x
    x = 204,266,169,071.77/516,189.44
  6. Step 6: Final answer
    x = 395,719.39

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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.