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Finding the Fourth Proportional to 312,662.24, 469,002.12 and 194,674.40

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Solution

The fourth proportional to 312,662.24, 469,002.12 and 194,674.40 is: 292,017.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,662.24 : 469,002.12 = 194,674.40 : x
  2. Step 2: Convert to fraction form
    312,662.24/469,002.12 = 194,674.40/x
  3. Step 3: Cross multiply
    312,662.24x = 469,002.12 × 194,674.40
  4. Step 4: Simplify right side
    312,662.24x = 91,302,706,309.73
  5. Step 5: Solve for x
    x = 91,302,706,309.73/312,662.24
  6. Step 6: Final answer
    x = 292,017.05

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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.