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Finding the Fourth Proportional to 313,828.30, 470,742.46 and 313,828.30

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Solution

The fourth proportional to 313,828.30, 470,742.46 and 313,828.30 is: 470,742.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,828.30 : 470,742.46 = 313,828.30 : x
  2. Step 2: Convert to fraction form
    313,828.30/470,742.46 = 313,828.30/x
  3. Step 3: Cross multiply
    313,828.30x = 470,742.46 × 313,828.30
  4. Step 4: Simplify right side
    313,828.30x = 147,732,305,959.62
  5. Step 5: Solve for x
    x = 147,732,305,959.62/313,828.30
  6. Step 6: Final answer
    x = 470,742.46

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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.