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Finding the Fourth Proportional to 287,850.60, 431,387.10 and 254,413.80

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Solution

The fourth proportional to 287,850.60, 431,387.10 and 254,413.80 is: 381,277.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,850.60 : 431,387.10 = 254,413.80 : x
  2. Step 2: Convert to fraction form
    287,850.60/431,387.10 = 254,413.80/x
  3. Step 3: Cross multiply
    287,850.60x = 431,387.10 × 254,413.80
  4. Step 4: Simplify right side
    287,850.60x = 109,750,831,381.98
  5. Step 5: Solve for x
    x = 109,750,831,381.98/287,850.60
  6. Step 6: Final answer
    x = 381,277.06

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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.