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Finding the Fourth Proportional to 384,153.54, 530,161.92 and 214,413.18

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Solution

The fourth proportional to 384,153.54, 530,161.92 and 214,413.18 is: 295,906.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,153.54 : 530,161.92 = 214,413.18 : x
  2. Step 2: Convert to fraction form
    384,153.54/530,161.92 = 214,413.18/x
  3. Step 3: Cross multiply
    384,153.54x = 530,161.92 × 214,413.18
  4. Step 4: Simplify right side
    384,153.54x = 113,673,703,182.11
  5. Step 5: Solve for x
    x = 113,673,703,182.11/384,153.54
  6. Step 6: Final answer
    x = 295,906.95

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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.