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Finding the Fourth Proportional to 352,285.91, 486,148.43 and 214,415

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Solution

The fourth proportional to 352,285.91, 486,148.43 and 214,415 is: 295,888.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,285.91 : 486,148.43 = 214,415 : x
  2. Step 2: Convert to fraction form
    352,285.91/486,148.43 = 214,415/x
  3. Step 3: Cross multiply
    352,285.91x = 486,148.43 × 214,415
  4. Step 4: Simplify right side
    352,285.91x = 104,237,514,546.38
  5. Step 5: Solve for x
    x = 104,237,514,546.38/352,285.91
  6. Step 6: Final answer
    x = 295,888.97

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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.