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Finding the Fourth Proportional to 513,184.25, 708,216.14 and 286,829.75

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Solution

The fourth proportional to 513,184.25, 708,216.14 and 286,829.75 is: 395,837.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,184.25 : 708,216.14 = 286,829.75 : x
  2. Step 2: Convert to fraction form
    513,184.25/708,216.14 = 286,829.75/x
  3. Step 3: Cross multiply
    513,184.25x = 708,216.14 × 286,829.75
  4. Step 4: Simplify right side
    513,184.25x = 203,137,458,382.17
  5. Step 5: Solve for x
    x = 203,137,458,382.17/513,184.25
  6. Step 6: Final answer
    x = 395,837.28

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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.