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Finding the Fourth Proportional to 310,413.88, 465,706.68 and 123,556.60

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Solution

The fourth proportional to 310,413.88, 465,706.68 and 123,556.60 is: 185,369.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,413.88 : 465,706.68 = 123,556.60 : x
  2. Step 2: Convert to fraction form
    310,413.88/465,706.68 = 123,556.60/x
  3. Step 3: Cross multiply
    310,413.88x = 465,706.68 × 123,556.60
  4. Step 4: Simplify right side
    310,413.88x = 57,541,133,978.09
  5. Step 5: Solve for x
    x = 57,541,133,978.09/310,413.88
  6. Step 6: Final answer
    x = 185,369.08

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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.