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Finding the Fourth Proportional to 231,503.40, 347,255.10 and 184,847.40

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Solution

The fourth proportional to 231,503.40, 347,255.10 and 184,847.40 is: 277,271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,503.40 : 347,255.10 = 184,847.40 : x
  2. Step 2: Convert to fraction form
    231,503.40/347,255.10 = 184,847.40/x
  3. Step 3: Cross multiply
    231,503.40x = 347,255.10 × 184,847.40
  4. Step 4: Simplify right side
    231,503.40x = 64,189,202,371.74
  5. Step 5: Solve for x
    x = 64,189,202,371.74/231,503.40
  6. Step 6: Final answer
    x = 277,271.10

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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.