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Finding the Fourth Proportional to 534,716.82, 802,176.42 and 214,893.60

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Solution

The fourth proportional to 534,716.82, 802,176.42 and 214,893.60 is: 322,381.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,716.82 : 802,176.42 = 214,893.60 : x
  2. Step 2: Convert to fraction form
    534,716.82/802,176.42 = 214,893.60/x
  3. Step 3: Cross multiply
    534,716.82x = 802,176.42 × 214,893.60
  4. Step 4: Simplify right side
    534,716.82x = 172,382,578,728.91
  5. Step 5: Solve for x
    x = 172,382,578,728.91/534,716.82
  6. Step 6: Final answer
    x = 322,381.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.