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Finding the Fourth Proportional to 580,784.94, 870,842.25 and 225,383.58

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Solution

The fourth proportional to 580,784.94, 870,842.25 and 225,383.58 is: 337,945.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,784.94 : 870,842.25 = 225,383.58 : x
  2. Step 2: Convert to fraction form
    580,784.94/870,842.25 = 225,383.58/x
  3. Step 3: Cross multiply
    580,784.94x = 870,842.25 × 225,383.58
  4. Step 4: Simplify right side
    580,784.94x = 196,273,543,920.26
  5. Step 5: Solve for x
    x = 196,273,543,920.26/580,784.94
  6. Step 6: Final answer
    x = 337,945.31

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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.