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Finding the Fourth Proportional to 298,413.04, 411,808.80 and 162,454.54

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Solution

The fourth proportional to 298,413.04, 411,808.80 and 162,454.54 is: 224,186.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,413.04 : 411,808.80 = 162,454.54 : x
  2. Step 2: Convert to fraction form
    298,413.04/411,808.80 = 162,454.54/x
  3. Step 3: Cross multiply
    298,413.04x = 411,808.80 × 162,454.54
  4. Step 4: Simplify right side
    298,413.04x = 66,900,209,171.95
  5. Step 5: Solve for x
    x = 66,900,209,171.95/298,413.04
  6. Step 6: Final answer
    x = 224,186.61

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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.