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Finding the Fourth Proportional to 285,608.30, 428,412.45 and 167,413.10

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Solution

The fourth proportional to 285,608.30, 428,412.45 and 167,413.10 is: 251,119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,608.30 : 428,412.45 = 167,413.10 : x
  2. Step 2: Convert to fraction form
    285,608.30/428,412.45 = 167,413.10/x
  3. Step 3: Cross multiply
    285,608.30x = 428,412.45 × 167,413.10
  4. Step 4: Simplify right side
    285,608.30x = 71,721,856,333.10
  5. Step 5: Solve for x
    x = 71,721,856,333.10/285,608.30
  6. Step 6: Final answer
    x = 251,119.65

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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.