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Finding the Fourth Proportional to 675,413.80, 932,078.39 and 369,483.60

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Solution

The fourth proportional to 675,413.80, 932,078.39 and 369,483.60 is: 509,891.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,413.80 : 932,078.39 = 369,483.60 : x
  2. Step 2: Convert to fraction form
    675,413.80/932,078.39 = 369,483.60/x
  3. Step 3: Cross multiply
    675,413.80x = 932,078.39 × 369,483.60
  4. Step 4: Simplify right side
    675,413.80x = 344,387,677,502.68
  5. Step 5: Solve for x
    x = 344,387,677,502.68/675,413.80
  6. Step 6: Final answer
    x = 509,891.39

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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.