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Finding the Fourth Proportional to 313,477.70, 470,216.55 and 311,728.10

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Solution

The fourth proportional to 313,477.70, 470,216.55 and 311,728.10 is: 467,592.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,477.70 : 470,216.55 = 311,728.10 : x
  2. Step 2: Convert to fraction form
    313,477.70/470,216.55 = 311,728.10/x
  3. Step 3: Cross multiply
    313,477.70x = 470,216.55 × 311,728.10
  4. Step 4: Simplify right side
    313,477.70x = 146,579,711,720.06
  5. Step 5: Solve for x
    x = 146,579,711,720.06/313,477.70
  6. Step 6: Final answer
    x = 467,592.15

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Similar ratio
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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.