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Finding the Fourth Proportional to 512,193.15, 706,808.02 and 282,745.51

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Solution

The fourth proportional to 512,193.15, 706,808.02 and 282,745.51 is: 390,178.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,193.15 : 706,808.02 = 282,745.51 : x
  2. Step 2: Convert to fraction form
    512,193.15/706,808.02 = 282,745.51/x
  3. Step 3: Cross multiply
    512,193.15x = 706,808.02 × 282,745.51
  4. Step 4: Simplify right side
    512,193.15x = 199,846,794,086.99
  5. Step 5: Solve for x
    x = 199,846,794,086.99/512,193.15
  6. Step 6: Final answer
    x = 390,178.58

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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.