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Finding the Fourth Proportional to 512,041.24, 706,217.63 and 328,297.36

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Solution

The fourth proportional to 512,041.24, 706,217.63 and 328,297.36 is: 452,794.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,041.24 : 706,217.63 = 328,297.36 : x
  2. Step 2: Convert to fraction form
    512,041.24/706,217.63 = 328,297.36/x
  3. Step 3: Cross multiply
    512,041.24x = 706,217.63 × 328,297.36
  4. Step 4: Simplify right side
    512,041.24x = 231,849,383,103.10
  5. Step 5: Solve for x
    x = 231,849,383,103.10/512,041.24
  6. Step 6: Final answer
    x = 452,794.35

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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.