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Finding the Fourth Proportional to 492,413.22, 738,342.81 and 155,391.08

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Solution

The fourth proportional to 492,413.22, 738,342.81 and 155,391.08 is: 232,999.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,413.22 : 738,342.81 = 155,391.08 : x
  2. Step 2: Convert to fraction form
    492,413.22/738,342.81 = 155,391.08/x
  3. Step 3: Cross multiply
    492,413.22x = 738,342.81 × 155,391.08
  4. Step 4: Simplify right side
    492,413.22x = 114,731,882,964.42
  5. Step 5: Solve for x
    x = 114,731,882,964.42/492,413.22
  6. Step 6: Final answer
    x = 232,999.19

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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.