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Finding the Fourth Proportional to 327,057.55, 490,572.33 and 102,413.01

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Solution

The fourth proportional to 327,057.55, 490,572.33 and 102,413.01 is: 153,615.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,057.55 : 490,572.33 = 102,413.01 : x
  2. Step 2: Convert to fraction form
    327,057.55/490,572.33 = 102,413.01/x
  3. Step 3: Cross multiply
    327,057.55x = 490,572.33 × 102,413.01
  4. Step 4: Simplify right side
    327,057.55x = 50,240,988,938.01
  5. Step 5: Solve for x
    x = 50,240,988,938.01/327,057.55
  6. Step 6: Final answer
    x = 153,615.13

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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.