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Finding the Fourth Proportional to 477,413.46, 658,817.42 and 262,553.50

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Solution

The fourth proportional to 477,413.46, 658,817.42 and 262,553.50 is: 362,316.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,413.46 : 658,817.42 = 262,553.50 : x
  2. Step 2: Convert to fraction form
    477,413.46/658,817.42 = 262,553.50/x
  3. Step 3: Cross multiply
    477,413.46x = 658,817.42 × 262,553.50
  4. Step 4: Simplify right side
    477,413.46x = 172,974,819,481.97
  5. Step 5: Solve for x
    x = 172,974,819,481.97/477,413.46
  6. Step 6: Final answer
    x = 362,316.60

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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.