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Finding the Fourth Proportional to 583,410.81, 874,913.81 and 204,323.18

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Solution

The fourth proportional to 583,410.81, 874,913.81 and 204,323.18 is: 306,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,410.81 : 874,913.81 = 204,323.18 : x
  2. Step 2: Convert to fraction form
    583,410.81/874,913.81 = 204,323.18/x
  3. Step 3: Cross multiply
    583,410.81x = 874,913.81 × 204,323.18
  4. Step 4: Simplify right side
    583,410.81x = 178,765,166,488.93
  5. Step 5: Solve for x
    x = 178,765,166,488.93/583,410.81
  6. Step 6: Final answer
    x = 306,413.87

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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.