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Finding the Fourth Proportional to 320,010.96, 480,016.44 and 98,394.96

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Solution

The fourth proportional to 320,010.96, 480,016.44 and 98,394.96 is: 147,592.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,010.96 : 480,016.44 = 98,394.96 : x
  2. Step 2: Convert to fraction form
    320,010.96/480,016.44 = 98,394.96/x
  3. Step 3: Cross multiply
    320,010.96x = 480,016.44 × 98,394.96
  4. Step 4: Simplify right side
    320,010.96x = 47,231,198,413.14
  5. Step 5: Solve for x
    x = 47,231,198,413.14/320,010.96
  6. Step 6: Final answer
    x = 147,592.44

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1.5x scale

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.