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Finding the Fourth Proportional to 512,885.62, 707,745.09 and 283,440.16

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Solution

The fourth proportional to 512,885.62, 707,745.09 and 283,440.16 is: 391,126.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,885.62 : 707,745.09 = 283,440.16 : x
  2. Step 2: Convert to fraction form
    512,885.62/707,745.09 = 283,440.16/x
  3. Step 3: Cross multiply
    512,885.62x = 707,745.09 × 283,440.16
  4. Step 4: Simplify right side
    512,885.62x = 200,603,381,548.81
  5. Step 5: Solve for x
    x = 200,603,381,548.81/512,885.62
  6. Step 6: Final answer
    x = 391,126.94

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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.