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Finding the Fourth Proportional to 282,351.49, 389,629.13 and 164,514.23

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Solution

The fourth proportional to 282,351.49, 389,629.13 and 164,514.23 is: 227,020.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,351.49 : 389,629.13 = 164,514.23 : x
  2. Step 2: Convert to fraction form
    282,351.49/389,629.13 = 164,514.23/x
  3. Step 3: Cross multiply
    282,351.49x = 389,629.13 × 164,514.23
  4. Step 4: Simplify right side
    282,351.49x = 64,099,536,307.52
  5. Step 5: Solve for x
    x = 64,099,536,307.52/282,351.49
  6. Step 6: Final answer
    x = 227,020.36

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1.5x scale

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.