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Finding the Fourth Proportional to 282,567.51, 389,649.78 and 196,623.81

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Solution

The fourth proportional to 282,567.51, 389,649.78 and 196,623.81 is: 271,136.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,567.51 : 389,649.78 = 196,623.81 : x
  2. Step 2: Convert to fraction form
    282,567.51/389,649.78 = 196,623.81/x
  3. Step 3: Cross multiply
    282,567.51x = 389,649.78 × 196,623.81
  4. Step 4: Simplify right side
    282,567.51x = 76,614,424,309.26
  5. Step 5: Solve for x
    x = 76,614,424,309.26/282,567.51
  6. Step 6: Final answer
    x = 271,136.71

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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.