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Finding the Fourth Proportional to 477,413.75, 658,817.82 and 262,553.83

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Solution

The fourth proportional to 477,413.75, 658,817.82 and 262,553.83 is: 362,317.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,413.75 : 658,817.82 = 262,553.83 : x
  2. Step 2: Convert to fraction form
    477,413.75/658,817.82 = 262,553.83/x
  3. Step 3: Cross multiply
    477,413.75x = 658,817.82 × 262,553.83
  4. Step 4: Simplify right side
    477,413.75x = 172,975,141,913.25
  5. Step 5: Solve for x
    x = 172,975,141,913.25/477,413.75
  6. Step 6: Final answer
    x = 362,317.05

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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.