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Finding the Fourth Proportional to 294,021.56, 441,046.92 and 83,674.28

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Solution

The fourth proportional to 294,021.56, 441,046.92 and 83,674.28 is: 125,515.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,021.56 : 441,046.92 = 83,674.28 : x
  2. Step 2: Convert to fraction form
    294,021.56/441,046.92 = 83,674.28/x
  3. Step 3: Cross multiply
    294,021.56x = 441,046.92 × 83,674.28
  4. Step 4: Simplify right side
    294,021.56x = 36,904,283,477.22
  5. Step 5: Solve for x
    x = 36,904,283,477.22/294,021.56
  6. Step 6: Final answer
    x = 125,515.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.