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Finding the Fourth Proportional to 515,917.35, 712,010.66 and 286,518.87

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Solution

The fourth proportional to 515,917.35, 712,010.66 and 286,518.87 is: 395,420.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,917.35 : 712,010.66 = 286,518.87 : x
  2. Step 2: Convert to fraction form
    515,917.35/712,010.66 = 286,518.87/x
  3. Step 3: Cross multiply
    515,917.35x = 712,010.66 × 286,518.87
  4. Step 4: Simplify right side
    515,917.35x = 204,004,488,298.56
  5. Step 5: Solve for x
    x = 204,004,488,298.56/515,917.35
  6. Step 6: Final answer
    x = 395,420.87

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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.