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Finding the Fourth Proportional to 580,189.37, 870,920.49 and 461,012.45

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Solution

The fourth proportional to 580,189.37, 870,920.49 and 461,012.45 is: 692,024.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,189.37 : 870,920.49 = 461,012.45 : x
  2. Step 2: Convert to fraction form
    580,189.37/870,920.49 = 461,012.45/x
  3. Step 3: Cross multiply
    580,189.37x = 870,920.49 × 461,012.45
  4. Step 4: Simplify right side
    580,189.37x = 401,505,188,850.10
  5. Step 5: Solve for x
    x = 401,505,188,850.10/580,189.37
  6. Step 6: Final answer
    x = 692,024.38

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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.