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Finding the Fourth Proportional to 312,413.37, 431,129.84 and 169,172.97

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Solution

The fourth proportional to 312,413.37, 431,129.84 and 169,172.97 is: 233,458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,413.37 : 431,129.84 = 169,172.97 : x
  2. Step 2: Convert to fraction form
    312,413.37/431,129.84 = 169,172.97/x
  3. Step 3: Cross multiply
    312,413.37x = 431,129.84 × 169,172.97
  4. Step 4: Simplify right side
    312,413.37x = 72,935,514,642.56
  5. Step 5: Solve for x
    x = 72,935,514,642.56/312,413.37
  6. Step 6: Final answer
    x = 233,458.37

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1.5x scale

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.