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Finding the Fourth Proportional to 513,620.84, 770,280.80 and 193,541.78

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Solution

The fourth proportional to 513,620.84, 770,280.80 and 193,541.78 is: 290,255.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,620.84 : 770,280.80 = 193,541.78 : x
  2. Step 2: Convert to fraction form
    513,620.84/770,280.80 = 193,541.78/x
  3. Step 3: Cross multiply
    513,620.84x = 770,280.80 × 193,541.78
  4. Step 4: Simplify right side
    513,620.84x = 149,081,517,131.82
  5. Step 5: Solve for x
    x = 149,081,517,131.82/513,620.84
  6. Step 6: Final answer
    x = 290,255.97

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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.