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Finding the Fourth Proportional to 580,189.61, 870,087.30 and 201,021.83

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Solution

The fourth proportional to 580,189.61, 870,087.30 and 201,021.83 is: 301,464.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,189.61 : 870,087.30 = 201,021.83 : x
  2. Step 2: Convert to fraction form
    580,189.61/870,087.30 = 201,021.83/x
  3. Step 3: Cross multiply
    580,189.61x = 870,087.30 × 201,021.83
  4. Step 4: Simplify right side
    580,189.61x = 174,906,544,641.25
  5. Step 5: Solve for x
    x = 174,906,544,641.25/580,189.61
  6. Step 6: Final answer
    x = 301,464.46

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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.