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Finding the Fourth Proportional to 664,522.60, 997,014.30 and 290,813.80

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Solution

The fourth proportional to 664,522.60, 997,014.30 and 290,813.80 is: 436,321.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,522.60 : 997,014.30 = 290,813.80 : x
  2. Step 2: Convert to fraction form
    664,522.60/997,014.30 = 290,813.80/x
  3. Step 3: Cross multiply
    664,522.60x = 997,014.30 × 290,813.80
  4. Step 4: Simplify right side
    664,522.60x = 289,945,517,237.34
  5. Step 5: Solve for x
    x = 289,945,517,237.34/664,522.60
  6. Step 6: Final answer
    x = 436,321.53

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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.