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Finding the Fourth Proportional to 352,287.84, 486,151.11 and 214,416.93

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Solution

The fourth proportional to 352,287.84, 486,151.11 and 214,416.93 is: 295,891.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,287.84 : 486,151.11 = 214,416.93 : x
  2. Step 2: Convert to fraction form
    352,287.84/486,151.11 = 214,416.93/x
  3. Step 3: Cross multiply
    352,287.84x = 486,151.11 × 214,416.93
  4. Step 4: Simplify right side
    352,287.84x = 104,239,028,522.29
  5. Step 5: Solve for x
    x = 104,239,028,522.29/352,287.84
  6. Step 6: Final answer
    x = 295,891.65

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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.