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Finding the Fourth Proportional to 356,369.15, 491,801.67 and 195,224.16

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Solution

The fourth proportional to 356,369.15, 491,801.67 and 195,224.16 is: 269,416.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,369.15 : 491,801.67 = 195,224.16 : x
  2. Step 2: Convert to fraction form
    356,369.15/491,801.67 = 195,224.16/x
  3. Step 3: Cross multiply
    356,369.15x = 491,801.67 × 195,224.16
  4. Step 4: Simplify right side
    356,369.15x = 96,011,566,068.09
  5. Step 5: Solve for x
    x = 96,011,566,068.09/356,369.15
  6. Step 6: Final answer
    x = 269,416.04

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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.