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Finding the Fourth Proportional to 580,188.87, 870,919.74 and 461,011.95

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Solution

The fourth proportional to 580,188.87, 870,919.74 and 461,011.95 is: 692,023.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,188.87 : 870,919.74 = 461,011.95 : x
  2. Step 2: Convert to fraction form
    580,188.87/870,919.74 = 461,011.95/x
  3. Step 3: Cross multiply
    580,188.87x = 870,919.74 × 461,011.95
  4. Step 4: Simplify right side
    580,188.87x = 401,504,407,630.89
  5. Step 5: Solve for x
    x = 401,504,407,630.89/580,188.87
  6. Step 6: Final answer
    x = 692,023.63

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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.