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Finding the Fourth Proportional to 706,357.82, 1,060,202.64 and 257,512.52

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Solution

The fourth proportional to 706,357.82, 1,060,202.64 and 257,512.52 is: 386,511.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,357.82 : 1,060,202.64 = 257,512.52 : x
  2. Step 2: Convert to fraction form
    706,357.82/1,060,202.64 = 257,512.52/x
  3. Step 3: Cross multiply
    706,357.82x = 1,060,202.64 × 257,512.52
  4. Step 4: Simplify right side
    706,357.82x = 273,015,453,537.05
  5. Step 5: Solve for x
    x = 273,015,453,537.05/706,357.82
  6. Step 6: Final answer
    x = 386,511.55

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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.