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Finding the Fourth Proportional to 328,413.96, 492,805.44 and 178,664.72

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Solution

The fourth proportional to 328,413.96, 492,805.44 and 178,664.72 is: 268,097.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,413.96 : 492,805.44 = 178,664.72 : x
  2. Step 2: Convert to fraction form
    328,413.96/492,805.44 = 178,664.72/x
  3. Step 3: Cross multiply
    328,413.96x = 492,805.44 × 178,664.72
  4. Step 4: Simplify right side
    328,413.96x = 88,046,945,952.08
  5. Step 5: Solve for x
    x = 88,046,945,952.08/328,413.96
  6. Step 6: Final answer
    x = 268,097.45

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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.