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Finding the Fourth Proportional to 512,190.84, 706,834.68 and 282,747.59

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Solution

The fourth proportional to 512,190.84, 706,834.68 and 282,747.59 is: 390,197.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,190.84 : 706,834.68 = 282,747.59 : x
  2. Step 2: Convert to fraction form
    512,190.84/706,834.68 = 282,747.59/x
  3. Step 3: Cross multiply
    512,190.84x = 706,834.68 × 282,747.59
  4. Step 4: Simplify right side
    512,190.84x = 199,855,799,161.84
  5. Step 5: Solve for x
    x = 199,855,799,161.84/512,190.84
  6. Step 6: Final answer
    x = 390,197.91

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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.