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Finding the Fourth Proportional to 298,472.55, 411,871.30 and 169,413.66

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Solution

The fourth proportional to 298,472.55, 411,871.30 and 169,413.66 is: 233,779.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,472.55 : 411,871.30 = 169,413.66 : x
  2. Step 2: Convert to fraction form
    298,472.55/411,871.30 = 169,413.66/x
  3. Step 3: Cross multiply
    298,472.55x = 411,871.30 × 169,413.66
  4. Step 4: Simplify right side
    298,472.55x = 69,776,623,958.42
  5. Step 5: Solve for x
    x = 69,776,623,958.42/298,472.55
  6. Step 6: Final answer
    x = 233,779.04

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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.