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Finding the Fourth Proportional to 580,057.17, 800,484.36 and 325,413.84

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Solution

The fourth proportional to 580,057.17, 800,484.36 and 325,413.84 is: 449,074.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,057.17 : 800,484.36 = 325,413.84 : x
  2. Step 2: Convert to fraction form
    580,057.17/800,484.36 = 325,413.84/x
  3. Step 3: Cross multiply
    580,057.17x = 800,484.36 × 325,413.84
  4. Step 4: Simplify right side
    580,057.17x = 260,488,689,447.54
  5. Step 5: Solve for x
    x = 260,488,689,447.54/580,057.17
  6. Step 6: Final answer
    x = 449,074.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.