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Finding the Fourth Proportional to 664,357.60, 996,406.80 and 214,969.60

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Solution

The fourth proportional to 664,357.60, 996,406.80 and 214,969.60 is: 322,412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,357.60 : 996,406.80 = 214,969.60 : x
  2. Step 2: Convert to fraction form
    664,357.60/996,406.80 = 214,969.60/x
  3. Step 3: Cross multiply
    664,357.60x = 996,406.80 × 214,969.60
  4. Step 4: Simplify right side
    664,357.60x = 214,197,171,233.28
  5. Step 5: Solve for x
    x = 214,197,171,233.28/664,357.60
  6. Step 6: Final answer
    x = 322,412.46

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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.