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Finding the Fourth Proportional to 580,189.87, 870,921.24 and 461,012.95

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Solution

The fourth proportional to 580,189.87, 870,921.24 and 461,012.95 is: 692,025.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,189.87 : 870,921.24 = 461,012.95 : x
  2. Step 2: Convert to fraction form
    580,189.87/870,921.24 = 461,012.95/x
  3. Step 3: Cross multiply
    580,189.87x = 870,921.24 × 461,012.95
  4. Step 4: Simplify right side
    580,189.87x = 401,505,970,070.06
  5. Step 5: Solve for x
    x = 401,505,970,070.06/580,189.87
  6. Step 6: Final answer
    x = 692,025.13

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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.