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Finding the Fourth Proportional to 313,611.90, 432,821.52 and 186,288

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Solution

The fourth proportional to 313,611.90, 432,821.52 and 186,288 is: 257,099.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,611.90 : 432,821.52 = 186,288 : x
  2. Step 2: Convert to fraction form
    313,611.90/432,821.52 = 186,288/x
  3. Step 3: Cross multiply
    313,611.90x = 432,821.52 × 186,288
  4. Step 4: Simplify right side
    313,611.90x = 80,629,455,317.76
  5. Step 5: Solve for x
    x = 80,629,455,317.76/313,611.90
  6. Step 6: Final answer
    x = 257,099.48

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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.