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Finding the Fourth Proportional to 513,783.52, 770,896.72 and 214,323.04

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Solution

The fourth proportional to 513,783.52, 770,896.72 and 214,323.04 is: 321,576.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,783.52 : 770,896.72 = 214,323.04 : x
  2. Step 2: Convert to fraction form
    513,783.52/770,896.72 = 214,323.04/x
  3. Step 3: Cross multiply
    513,783.52x = 770,896.72 × 214,323.04
  4. Step 4: Simplify right side
    513,783.52x = 165,220,928,556.43
  5. Step 5: Solve for x
    x = 165,220,928,556.43/513,783.52
  6. Step 6: Final answer
    x = 321,576.93

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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.