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Finding the Fourth Proportional to 580,164.72, 870,425.25 and 276,945.80

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Solution

The fourth proportional to 580,164.72, 870,425.25 and 276,945.80 is: 415,503.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,164.72 : 870,425.25 = 276,945.80 : x
  2. Step 2: Convert to fraction form
    580,164.72/870,425.25 = 276,945.80/x
  3. Step 3: Cross multiply
    580,164.72x = 870,425.25 × 276,945.80
  4. Step 4: Simplify right side
    580,164.72x = 241,060,617,201.45
  5. Step 5: Solve for x
    x = 241,060,617,201.45/580,164.72
  6. Step 6: Final answer
    x = 415,503.75

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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.