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Finding the Fourth Proportional to 294,035.58, 441,199.12 and 116,538.66

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Solution

The fourth proportional to 294,035.58, 441,199.12 and 116,538.66 is: 174,865.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,035.58 : 441,199.12 = 116,538.66 : x
  2. Step 2: Convert to fraction form
    294,035.58/441,199.12 = 116,538.66/x
  3. Step 3: Cross multiply
    294,035.58x = 441,199.12 × 116,538.66
  4. Step 4: Simplify right side
    294,035.58x = 51,416,754,237.98
  5. Step 5: Solve for x
    x = 51,416,754,237.98/294,035.58
  6. Step 6: Final answer
    x = 174,865.76

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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.