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Finding the Fourth Proportional to 357,781.07, 493,727.42 and 204,814.19

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Solution

The fourth proportional to 357,781.07, 493,727.42 and 204,814.19 is: 282,637.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,781.07 : 493,727.42 = 204,814.19 : x
  2. Step 2: Convert to fraction form
    357,781.07/493,727.42 = 204,814.19/x
  3. Step 3: Cross multiply
    357,781.07x = 493,727.42 × 204,814.19
  4. Step 4: Simplify right side
    357,781.07x = 101,122,378,115.38
  5. Step 5: Solve for x
    x = 101,122,378,115.38/357,781.07
  6. Step 6: Final answer
    x = 282,637.59

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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.