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Finding the Fourth Proportional to 547,353.26, 821,266.42 and 294,338.02

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Solution

The fourth proportional to 547,353.26, 821,266.42 and 294,338.02 is: 441,634.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,353.26 : 821,266.42 = 294,338.02 : x
  2. Step 2: Convert to fraction form
    547,353.26/821,266.42 = 294,338.02/x
  3. Step 3: Cross multiply
    547,353.26x = 821,266.42 × 294,338.02
  4. Step 4: Simplify right side
    547,353.26x = 241,729,931,955.29
  5. Step 5: Solve for x
    x = 241,729,931,955.29/547,353.26
  6. Step 6: Final answer
    x = 441,634.22

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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.