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Finding the Fourth Proportional to 260,416.68, 359,413.32 and 164,932.26

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Solution

The fourth proportional to 260,416.68, 359,413.32 and 164,932.26 is: 227,630.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,416.68 : 359,413.32 = 164,932.26 : x
  2. Step 2: Convert to fraction form
    260,416.68/359,413.32 = 164,932.26/x
  3. Step 3: Cross multiply
    260,416.68x = 359,413.32 × 164,932.26
  4. Step 4: Simplify right side
    260,416.68x = 59,278,851,141.70
  5. Step 5: Solve for x
    x = 59,278,851,141.70/260,416.68
  6. Step 6: Final answer
    x = 227,630.78

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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.