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Finding the Fourth Proportional to 294,040.56, 441,206.80 and 116,543.68

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Solution

The fourth proportional to 294,040.56, 441,206.80 and 116,543.68 is: 174,873.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,040.56 : 441,206.80 = 116,543.68 : x
  2. Step 2: Convert to fraction form
    294,040.56/441,206.80 = 116,543.68/x
  3. Step 3: Cross multiply
    294,040.56x = 441,206.80 × 116,543.68
  4. Step 4: Simplify right side
    294,040.56x = 51,419,864,113.02
  5. Step 5: Solve for x
    x = 51,419,864,113.02/294,040.56
  6. Step 6: Final answer
    x = 174,873.37

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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.