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Finding the Fourth Proportional to 205,413.40, 288,408.20 and 205,413.40

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Solution

The fourth proportional to 205,413.40, 288,408.20 and 205,413.40 is: 288,408.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,413.40 : 288,408.20 = 205,413.40 : x
  2. Step 2: Convert to fraction form
    205,413.40/288,408.20 = 205,413.40/x
  3. Step 3: Cross multiply
    205,413.40x = 288,408.20 × 205,413.40
  4. Step 4: Simplify right side
    205,413.40x = 59,242,908,949.88
  5. Step 5: Solve for x
    x = 59,242,908,949.88/205,413.40
  6. Step 6: Final answer
    x = 288,408.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.