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Finding the Fourth Proportional to 294,042.58, 405,716.90 and 192,217.23

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Solution

The fourth proportional to 294,042.58, 405,716.90 and 192,217.23 is: 265,219.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,042.58 : 405,716.90 = 192,217.23 : x
  2. Step 2: Convert to fraction form
    294,042.58/405,716.90 = 192,217.23/x
  3. Step 3: Cross multiply
    294,042.58x = 405,716.90 × 192,217.23
  4. Step 4: Simplify right side
    294,042.58x = 77,985,777,721.10
  5. Step 5: Solve for x
    x = 77,985,777,721.10/294,042.58
  6. Step 6: Final answer
    x = 265,219.34

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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.