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Finding the Fourth Proportional to 547,495, 821,244.54 and 168,413.20

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Solution

The fourth proportional to 547,495, 821,244.54 and 168,413.20 is: 252,620.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,495 : 821,244.54 = 168,413.20 : x
  2. Step 2: Convert to fraction form
    547,495/821,244.54 = 168,413.20/x
  3. Step 3: Cross multiply
    547,495x = 821,244.54 × 168,413.20
  4. Step 4: Simplify right side
    547,495x = 138,308,420,963.93
  5. Step 5: Solve for x
    x = 138,308,420,963.93/547,495
  6. Step 6: Final answer
    x = 252,620.43

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