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Finding the Fourth Proportional to 512,285.36, 706,925.04 and 285,945.44

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Solution

The fourth proportional to 512,285.36, 706,925.04 and 285,945.44 is: 394,588.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,285.36 : 706,925.04 = 285,945.44 : x
  2. Step 2: Convert to fraction form
    512,285.36/706,925.04 = 285,945.44/x
  3. Step 3: Cross multiply
    512,285.36x = 706,925.04 × 285,945.44
  4. Step 4: Simplify right side
    512,285.36x = 202,141,991,609.82
  5. Step 5: Solve for x
    x = 202,141,991,609.82/512,285.36
  6. Step 6: Final answer
    x = 394,588.66

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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.