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Finding the Fourth Proportional to 588,813.20, 883,284.60 and 214,917.20

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Solution

The fourth proportional to 588,813.20, 883,284.60 and 214,917.20 is: 322,399.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,813.20 : 883,284.60 = 214,917.20 : x
  2. Step 2: Convert to fraction form
    588,813.20/883,284.60 = 214,917.20/x
  3. Step 3: Cross multiply
    588,813.20x = 883,284.60 × 214,917.20
  4. Step 4: Simplify right side
    588,813.20x = 189,833,053,035.12
  5. Step 5: Solve for x
    x = 189,833,053,035.12/588,813.20
  6. Step 6: Final answer
    x = 322,399.45

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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.