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Finding the Fourth Proportional to 313,396.80, 470,170.80 and 103,023.60

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Solution

The fourth proportional to 313,396.80, 470,170.80 and 103,023.60 is: 154,560.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,396.80 : 470,170.80 = 103,023.60 : x
  2. Step 2: Convert to fraction form
    313,396.80/470,170.80 = 103,023.60/x
  3. Step 3: Cross multiply
    313,396.80x = 470,170.80 × 103,023.60
  4. Step 4: Simplify right side
    313,396.80x = 48,438,688,430.88
  5. Step 5: Solve for x
    x = 48,438,688,430.88/313,396.80
  6. Step 6: Final answer
    x = 154,560.25

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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.