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Finding the Fourth Proportional to 512,191.35, 706,835.37 and 282,748.09

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Solution

The fourth proportional to 512,191.35, 706,835.37 and 282,748.09 is: 390,198.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,191.35 : 706,835.37 = 282,748.09 : x
  2. Step 2: Convert to fraction form
    512,191.35/706,835.37 = 282,748.09/x
  3. Step 3: Cross multiply
    512,191.35x = 706,835.37 × 282,748.09
  4. Step 4: Simplify right side
    512,191.35x = 199,856,347,277.77
  5. Step 5: Solve for x
    x = 199,856,347,277.77/512,191.35
  6. Step 6: Final answer
    x = 390,198.60

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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.