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Finding the Fourth Proportional to 294,008.68, 441,158.82 and 116,511.76

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Solution

The fourth proportional to 294,008.68, 441,158.82 and 116,511.76 is: 174,825.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,008.68 : 441,158.82 = 116,511.76 : x
  2. Step 2: Convert to fraction form
    294,008.68/441,158.82 = 116,511.76/x
  3. Step 3: Cross multiply
    294,008.68x = 441,158.82 × 116,511.76
  4. Step 4: Simplify right side
    294,008.68x = 51,400,187,769.37
  5. Step 5: Solve for x
    x = 51,400,187,769.37/294,008.68
  6. Step 6: Final answer
    x = 174,825.41

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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.