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Finding the Fourth Proportional to 328,413.62, 491,660.28 and 296,895.92

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Solution

The fourth proportional to 328,413.62, 491,660.28 and 296,895.92 is: 444,475.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,413.62 : 491,660.28 = 296,895.92 : x
  2. Step 2: Convert to fraction form
    328,413.62/491,660.28 = 296,895.92/x
  3. Step 3: Cross multiply
    328,413.62x = 491,660.28 × 296,895.92
  4. Step 4: Simplify right side
    328,413.62x = 145,971,928,699.76
  5. Step 5: Solve for x
    x = 145,971,928,699.76/328,413.62
  6. Step 6: Final answer
    x = 444,475.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.