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Finding the Fourth Proportional to 313,812.70, 470,719.06 and 219,334.30

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Solution

The fourth proportional to 313,812.70, 470,719.06 and 219,334.30 is: 329,001.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,812.70 : 470,719.06 = 219,334.30 : x
  2. Step 2: Convert to fraction form
    313,812.70/470,719.06 = 219,334.30/x
  3. Step 3: Cross multiply
    313,812.70x = 470,719.06 × 219,334.30
  4. Step 4: Simplify right side
    313,812.70x = 103,244,835,521.76
  5. Step 5: Solve for x
    x = 103,244,835,521.76/313,812.70
  6. Step 6: Final answer
    x = 329,001.46

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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.