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Finding the Fourth Proportional to 357,781.33, 493,727.83 and 204,814.36

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Solution

The fourth proportional to 357,781.33, 493,727.83 and 204,814.36 is: 282,637.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,781.33 : 493,727.83 = 204,814.36 : x
  2. Step 2: Convert to fraction form
    357,781.33/493,727.83 = 204,814.36/x
  3. Step 3: Cross multiply
    357,781.33x = 493,727.83 × 204,814.36
  4. Step 4: Simplify right side
    357,781.33x = 101,122,549,515.64
  5. Step 5: Solve for x
    x = 101,122,549,515.64/357,781.33
  6. Step 6: Final answer
    x = 282,637.86

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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.