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Finding the Fourth Proportional to 580,513.42, 870,739.14 and 181,108.36

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Solution

The fourth proportional to 580,513.42, 870,739.14 and 181,108.36 is: 271,652.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,513.42 : 870,739.14 = 181,108.36 : x
  2. Step 2: Convert to fraction form
    580,513.42/870,739.14 = 181,108.36/x
  3. Step 3: Cross multiply
    580,513.42x = 870,739.14 × 181,108.36
  4. Step 4: Simplify right side
    580,513.42x = 157,698,137,633.21
  5. Step 5: Solve for x
    x = 157,698,137,633.21/580,513.42
  6. Step 6: Final answer
    x = 271,652.87

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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.