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Finding the Fourth Proportional to 294,034.58, 441,197.61 and 116,537.66

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Solution

The fourth proportional to 294,034.58, 441,197.61 and 116,537.66 is: 174,864.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,034.58 : 441,197.61 = 116,537.66 : x
  2. Step 2: Convert to fraction form
    294,034.58/441,197.61 = 116,537.66/x
  3. Step 3: Cross multiply
    294,034.58x = 441,197.61 × 116,537.66
  4. Step 4: Simplify right side
    294,034.58x = 51,416,137,066.99
  5. Step 5: Solve for x
    x = 51,416,137,066.99/294,034.58
  6. Step 6: Final answer
    x = 174,864.25

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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.