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Finding the Fourth Proportional to 313,888.80, 470,314.80 and 267,232.80

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Solution

The fourth proportional to 313,888.80, 470,314.80 and 267,232.80 is: 400,407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,888.80 : 470,314.80 = 267,232.80 : x
  2. Step 2: Convert to fraction form
    313,888.80/470,314.80 = 267,232.80/x
  3. Step 3: Cross multiply
    313,888.80x = 470,314.80 × 267,232.80
  4. Step 4: Simplify right side
    313,888.80x = 125,683,540,885.44
  5. Step 5: Solve for x
    x = 125,683,540,885.44/313,888.80
  6. Step 6: Final answer
    x = 400,407.85

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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.