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Finding the Fourth Proportional to 307,774.30, 460,611.15 and 257,910.70

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Solution

The fourth proportional to 307,774.30, 460,611.15 and 257,910.70 is: 385,985.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,774.30 : 460,611.15 = 257,910.70 : x
  2. Step 2: Convert to fraction form
    307,774.30/460,611.15 = 257,910.70/x
  3. Step 3: Cross multiply
    307,774.30x = 460,611.15 × 257,910.70
  4. Step 4: Simplify right side
    307,774.30x = 118,796,544,124.31
  5. Step 5: Solve for x
    x = 118,796,544,124.31/307,774.30
  6. Step 6: Final answer
    x = 385,985.91

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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.