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Finding the Fourth Proportional to 317,413.38, 438,015.42 and 174,170.28

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Solution

The fourth proportional to 317,413.38, 438,015.42 and 174,170.28 is: 240,346.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,413.38 : 438,015.42 = 174,170.28 : x
  2. Step 2: Convert to fraction form
    317,413.38/438,015.42 = 174,170.28/x
  3. Step 3: Cross multiply
    317,413.38x = 438,015.42 × 174,170.28
  4. Step 4: Simplify right side
    317,413.38x = 76,289,268,345.72
  5. Step 5: Solve for x
    x = 76,289,268,345.72/317,413.38
  6. Step 6: Final answer
    x = 240,346.73

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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.