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Finding the Fourth Proportional to 330,674.22, 495,855.78 and 230,947.02

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Solution

The fourth proportional to 330,674.22, 495,855.78 and 230,947.02 is: 346,311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,674.22 : 495,855.78 = 230,947.02 : x
  2. Step 2: Convert to fraction form
    330,674.22/495,855.78 = 230,947.02/x
  3. Step 3: Cross multiply
    330,674.22x = 495,855.78 × 230,947.02
  4. Step 4: Simplify right side
    330,674.22x = 114,516,414,740.78
  5. Step 5: Solve for x
    x = 114,516,414,740.78/330,674.22
  6. Step 6: Final answer
    x = 346,311.89

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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.