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Finding the Fourth Proportional to 455,414.60, 683,559.30 and 231,028.40

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Solution

The fourth proportional to 455,414.60, 683,559.30 and 231,028.40 is: 346,764.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,414.60 : 683,559.30 = 231,028.40 : x
  2. Step 2: Convert to fraction form
    455,414.60/683,559.30 = 231,028.40/x
  3. Step 3: Cross multiply
    455,414.60x = 683,559.30 × 231,028.40
  4. Step 4: Simplify right side
    455,414.60x = 157,921,611,384.12
  5. Step 5: Solve for x
    x = 157,921,611,384.12/455,414.60
  6. Step 6: Final answer
    x = 346,764.49

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Why These Related Problems?

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