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Finding the Fourth Proportional to 323,478.36, 446,413.86 and 180,238.50

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Solution

The fourth proportional to 323,478.36, 446,413.86 and 180,238.50 is: 248,736.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,478.36 : 446,413.86 = 180,238.50 : x
  2. Step 2: Convert to fraction form
    323,478.36/446,413.86 = 180,238.50/x
  3. Step 3: Cross multiply
    323,478.36x = 446,413.86 × 180,238.50
  4. Step 4: Simplify right side
    323,478.36x = 80,460,964,505.61
  5. Step 5: Solve for x
    x = 80,460,964,505.61/323,478.36
  6. Step 6: Final answer
    x = 248,736.78

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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.