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Finding the Fourth Proportional to 269,189.60, 403,784.40 and 256,942.40

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Solution

The fourth proportional to 269,189.60, 403,784.40 and 256,942.40 is: 385,413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,189.60 : 403,784.40 = 256,942.40 : x
  2. Step 2: Convert to fraction form
    269,189.60/403,784.40 = 256,942.40/x
  3. Step 3: Cross multiply
    269,189.60x = 403,784.40 × 256,942.40
  4. Step 4: Simplify right side
    269,189.60x = 103,749,332,818.56
  5. Step 5: Solve for x
    x = 103,749,332,818.56/269,189.60
  6. Step 6: Final answer
    x = 385,413.60

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1.5x scale

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.