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Finding the Fourth Proportional to 287,268, 430,902 and 76,900.74

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Solution

The fourth proportional to 287,268, 430,902 and 76,900.74 is: 115,351.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,268 : 430,902 = 76,900.74 : x
  2. Step 2: Convert to fraction form
    287,268/430,902 = 76,900.74/x
  3. Step 3: Cross multiply
    287,268x = 430,902 × 76,900.74
  4. Step 4: Simplify right side
    287,268x = 33,136,682,667.48
  5. Step 5: Solve for x
    x = 33,136,682,667.48/287,268
  6. Step 6: Final answer
    x = 115,351.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.