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Finding the Fourth Proportional to 313,877.70, 470,816.56 and 114,423.30

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Solution

The fourth proportional to 313,877.70, 470,816.56 and 114,423.30 is: 171,634.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,877.70 : 470,816.56 = 114,423.30 : x
  2. Step 2: Convert to fraction form
    313,877.70/470,816.56 = 114,423.30/x
  3. Step 3: Cross multiply
    313,877.70x = 470,816.56 × 114,423.30
  4. Step 4: Simplify right side
    313,877.70x = 53,872,384,489.85
  5. Step 5: Solve for x
    x = 53,872,384,489.85/313,877.70
  6. Step 6: Final answer
    x = 171,634.95

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1.5x scale

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.