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Finding the Fourth Proportional to 294,242.80, 440,785.24 and 194,097.02

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Solution

The fourth proportional to 294,242.80, 440,785.24 and 194,097.02 is: 290,763.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,242.80 : 440,785.24 = 194,097.02 : x
  2. Step 2: Convert to fraction form
    294,242.80/440,785.24 = 194,097.02/x
  3. Step 3: Cross multiply
    294,242.80x = 440,785.24 × 194,097.02
  4. Step 4: Simplify right side
    294,242.80x = 85,555,101,543.98
  5. Step 5: Solve for x
    x = 85,555,101,543.98/294,242.80
  6. Step 6: Final answer
    x = 290,763.62

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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.