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Finding the Fourth Proportional to 578,758.40, 866,971.20 and 329,148.80

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Solution

The fourth proportional to 578,758.40, 866,971.20 and 329,148.80 is: 493,059.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,758.40 : 866,971.20 = 329,148.80 : x
  2. Step 2: Convert to fraction form
    578,758.40/866,971.20 = 329,148.80/x
  3. Step 3: Cross multiply
    578,758.40x = 866,971.20 × 329,148.80
  4. Step 4: Simplify right side
    578,758.40x = 285,362,530,114.56
  5. Step 5: Solve for x
    x = 285,362,530,114.56/578,758.40
  6. Step 6: Final answer
    x = 493,059.85

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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.