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Finding the Fourth Proportional to 580,662.24, 870,993 and 181,337.22

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Solution

The fourth proportional to 580,662.24, 870,993 and 181,337.22 is: 272,005.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,662.24 : 870,993 = 181,337.22 : x
  2. Step 2: Convert to fraction form
    580,662.24/870,993 = 181,337.22/x
  3. Step 3: Cross multiply
    580,662.24x = 870,993 × 181,337.22
  4. Step 4: Simplify right side
    580,662.24x = 157,943,449,259.46
  5. Step 5: Solve for x
    x = 157,943,449,259.46/580,662.24
  6. Step 6: Final answer
    x = 272,005.72

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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.