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Finding the Fourth Proportional to 664,311.30, 996,564.15 and 214,955.70

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Solution

The fourth proportional to 664,311.30, 996,564.15 and 214,955.70 is: 322,465.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,311.30 : 996,564.15 = 214,955.70 : x
  2. Step 2: Convert to fraction form
    664,311.30/996,564.15 = 214,955.70/x
  3. Step 3: Cross multiply
    664,311.30x = 996,564.15 × 214,955.70
  4. Step 4: Simplify right side
    664,311.30x = 214,217,144,458.16
  5. Step 5: Solve for x
    x = 214,217,144,458.16/664,311.30
  6. Step 6: Final answer
    x = 322,465.00

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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.