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Finding the Fourth Proportional to 513,557.64, 770,185.94 and 193,478.57

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Solution

The fourth proportional to 513,557.64, 770,185.94 and 193,478.57 is: 290,161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,557.64 : 770,185.94 = 193,478.57 : x
  2. Step 2: Convert to fraction form
    513,557.64/770,185.94 = 193,478.57/x
  3. Step 3: Cross multiply
    513,557.64x = 770,185.94 × 193,478.57
  4. Step 4: Simplify right side
    513,557.64x = 149,014,474,305.31
  5. Step 5: Solve for x
    x = 149,014,474,305.31/513,557.64
  6. Step 6: Final answer
    x = 290,161.15

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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.