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Finding the Fourth Proportional to 555,413.24, 832,947.66 and 200,381.12

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Solution

The fourth proportional to 555,413.24, 832,947.66 and 200,381.12 is: 300,509.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,413.24 : 832,947.66 = 200,381.12 : x
  2. Step 2: Convert to fraction form
    555,413.24/832,947.66 = 200,381.12/x
  3. Step 3: Cross multiply
    555,413.24x = 832,947.66 × 200,381.12
  4. Step 4: Simplify right side
    555,413.24x = 166,906,985,012.18
  5. Step 5: Solve for x
    x = 166,906,985,012.18/555,413.24
  6. Step 6: Final answer
    x = 300,509.55

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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.