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Finding the Fourth Proportional to 293,663.50, 405,221.25 and 172,778.20

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Solution

The fourth proportional to 293,663.50, 405,221.25 and 172,778.20 is: 238,413.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,663.50 : 405,221.25 = 172,778.20 : x
  2. Step 2: Convert to fraction form
    293,663.50/405,221.25 = 172,778.20/x
  3. Step 3: Cross multiply
    293,663.50x = 405,221.25 × 172,778.20
  4. Step 4: Simplify right side
    293,663.50x = 70,013,398,176.75
  5. Step 5: Solve for x
    x = 70,013,398,176.75/293,663.50
  6. Step 6: Final answer
    x = 238,413.69

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1.5x scale

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.