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Finding the Fourth Proportional to 580,580.24, 870,902.80 and 181,276.16

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Solution

The fourth proportional to 580,580.24, 870,902.80 and 181,276.16 is: 271,924.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,580.24 : 870,902.80 = 181,276.16 : x
  2. Step 2: Convert to fraction form
    580,580.24/870,902.80 = 181,276.16/x
  3. Step 3: Cross multiply
    580,580.24x = 870,902.80 × 181,276.16
  4. Step 4: Simplify right side
    580,580.24x = 157,873,915,317.25
  5. Step 5: Solve for x
    x = 157,873,915,317.25/580,580.24
  6. Step 6: Final answer
    x = 271,924.37

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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.