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Finding the Fourth Proportional to 512,062.02, 706,645.62 and 285,707.52

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Solution

The fourth proportional to 512,062.02, 706,645.62 and 285,707.52 is: 394,276.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,062.02 : 706,645.62 = 285,707.52 : x
  2. Step 2: Convert to fraction form
    512,062.02/706,645.62 = 285,707.52/x
  3. Step 3: Cross multiply
    512,062.02x = 706,645.62 × 285,707.52
  4. Step 4: Simplify right side
    512,062.02x = 201,893,967,609.06
  5. Step 5: Solve for x
    x = 201,893,967,609.06/512,062.02
  6. Step 6: Final answer
    x = 394,276.40

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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.