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Finding the Fourth Proportional to 288,942.60, 433,413.90 and 271,446.60

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Solution

The fourth proportional to 288,942.60, 433,413.90 and 271,446.60 is: 407,169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,942.60 : 433,413.90 = 271,446.60 : x
  2. Step 2: Convert to fraction form
    288,942.60/433,413.90 = 271,446.60/x
  3. Step 3: Cross multiply
    288,942.60x = 433,413.90 × 271,446.60
  4. Step 4: Simplify right side
    288,942.60x = 117,648,729,547.74
  5. Step 5: Solve for x
    x = 117,648,729,547.74/288,942.60
  6. Step 6: Final answer
    x = 407,169.90

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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.