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Finding the Fourth Proportional to 325,601.70, 488,329.65 and 214,064.70

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Solution

The fourth proportional to 325,601.70, 488,329.65 and 214,064.70 is: 321,049.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,601.70 : 488,329.65 = 214,064.70 : x
  2. Step 2: Convert to fraction form
    325,601.70/488,329.65 = 214,064.70/x
  3. Step 3: Cross multiply
    325,601.70x = 488,329.65 × 214,064.70
  4. Step 4: Simplify right side
    325,601.70x = 104,534,140,028.36
  5. Step 5: Solve for x
    x = 104,534,140,028.36/325,601.70
  6. Step 6: Final answer
    x = 321,049.12

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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.