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Finding the Fourth Proportional to 294,274.13, 441,415.29 and 83,912.06

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Solution

The fourth proportional to 294,274.13, 441,415.29 and 83,912.06 is: 125,869.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,274.13 : 441,415.29 = 83,912.06 : x
  2. Step 2: Convert to fraction form
    294,274.13/441,415.29 = 83,912.06/x
  3. Step 3: Cross multiply
    294,274.13x = 441,415.29 × 83,912.06
  4. Step 4: Simplify right side
    294,274.13x = 37,040,067,717.61
  5. Step 5: Solve for x
    x = 37,040,067,717.61/294,274.13
  6. Step 6: Final answer
    x = 125,869.26

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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.