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Finding the Fourth Proportional to 512,192.94, 706,865.37 and 282,794.40

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Solution

The fourth proportional to 512,192.94, 706,865.37 and 282,794.40 is: 390,277.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,192.94 : 706,865.37 = 282,794.40 : x
  2. Step 2: Convert to fraction form
    512,192.94/706,865.37 = 282,794.40/x
  3. Step 3: Cross multiply
    512,192.94x = 706,865.37 × 282,794.40
  4. Step 4: Simplify right side
    512,192.94x = 199,897,568,189.93
  5. Step 5: Solve for x
    x = 199,897,568,189.93/512,192.94
  6. Step 6: Final answer
    x = 390,277.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.