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Finding the Fourth Proportional to 512,846.82, 707,693.22 and 283,401.95

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Solution

The fourth proportional to 512,846.82, 707,693.22 and 283,401.95 is: 391,075.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,846.82 : 707,693.22 = 283,401.95 : x
  2. Step 2: Convert to fraction form
    512,846.82/707,693.22 = 283,401.95/x
  3. Step 3: Cross multiply
    512,846.82x = 707,693.22 × 283,401.95
  4. Step 4: Simplify right side
    512,846.82x = 200,561,635,011.31
  5. Step 5: Solve for x
    x = 200,561,635,011.31/512,846.82
  6. Step 6: Final answer
    x = 391,075.13

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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.