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Finding the Fourth Proportional to 217,286.60, 325,929.90 and 209,413.40

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Solution

The fourth proportional to 217,286.60, 325,929.90 and 209,413.40 is: 314,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,286.60 : 325,929.90 = 209,413.40 : x
  2. Step 2: Convert to fraction form
    217,286.60/325,929.90 = 209,413.40/x
  3. Step 3: Cross multiply
    217,286.60x = 325,929.90 × 209,413.40
  4. Step 4: Simplify right side
    217,286.60x = 68,254,088,520.66
  5. Step 5: Solve for x
    x = 68,254,088,520.66/217,286.60
  6. Step 6: Final answer
    x = 314,120.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.