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Finding the Fourth Proportional to 298,472.41, 411,871.14 and 169,413.52

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Solution

The fourth proportional to 298,472.41, 411,871.14 and 169,413.52 is: 233,778.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,472.41 : 411,871.14 = 169,413.52 : x
  2. Step 2: Convert to fraction form
    298,472.41/411,871.14 = 169,413.52/x
  3. Step 3: Cross multiply
    298,472.41x = 411,871.14 × 169,413.52
  4. Step 4: Simplify right side
    298,472.41x = 69,776,539,613.81
  5. Step 5: Solve for x
    x = 69,776,539,613.81/298,472.41
  6. Step 6: Final answer
    x = 233,778.86

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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.