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Finding the Fourth Proportional to 285,014.42, 427,521.23 and 114,313.14

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Solution

The fourth proportional to 285,014.42, 427,521.23 and 114,313.14 is: 171,469.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,014.42 : 427,521.23 = 114,313.14 : x
  2. Step 2: Convert to fraction form
    285,014.42/427,521.23 = 114,313.14/x
  3. Step 3: Cross multiply
    285,014.42x = 427,521.23 × 114,313.14
  4. Step 4: Simplify right side
    285,014.42x = 48,871,294,217.96
  5. Step 5: Solve for x
    x = 48,871,294,217.96/285,014.42
  6. Step 6: Final answer
    x = 171,469.55

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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.