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Finding the Fourth Proportional to 578,061.77, 797,725.94 and 323,413.16

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Solution

The fourth proportional to 578,061.77, 797,725.94 and 323,413.16 is: 446,310.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,061.77 : 797,725.94 = 323,413.16 : x
  2. Step 2: Convert to fraction form
    578,061.77/797,725.94 = 323,413.16/x
  3. Step 3: Cross multiply
    578,061.77x = 797,725.94 × 323,413.16
  4. Step 4: Simplify right side
    578,061.77x = 257,995,067,069.37
  5. Step 5: Solve for x
    x = 257,995,067,069.37/578,061.77
  6. Step 6: Final answer
    x = 446,310.55

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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.