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Finding the Fourth Proportional to 580,652.85, 870,978.95 and 181,327.84

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Solution

The fourth proportional to 580,652.85, 870,978.95 and 181,327.84 is: 271,991.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,652.85 : 870,978.95 = 181,327.84 : x
  2. Step 2: Convert to fraction form
    580,652.85/870,978.95 = 181,327.84/x
  3. Step 3: Cross multiply
    580,652.85x = 870,978.95 × 181,327.84
  4. Step 4: Simplify right side
    580,652.85x = 157,932,733,866.42
  5. Step 5: Solve for x
    x = 157,932,733,866.42/580,652.85
  6. Step 6: Final answer
    x = 271,991.66

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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.