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Finding the Fourth Proportional to 280,034.86, 386,413.74 and 171,193.96

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Solution

The fourth proportional to 280,034.86, 386,413.74 and 171,193.96 is: 236,226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,034.86 : 386,413.74 = 171,193.96 : x
  2. Step 2: Convert to fraction form
    280,034.86/386,413.74 = 171,193.96/x
  3. Step 3: Cross multiply
    280,034.86x = 386,413.74 × 171,193.96
  4. Step 4: Simplify right side
    280,034.86x = 66,151,698,349.01
  5. Step 5: Solve for x
    x = 66,151,698,349.01/280,034.86
  6. Step 6: Final answer
    x = 236,226.66

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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.