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Finding the Fourth Proportional to 409,371.80, 614,276.40 and 184,766.90

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Solution

The fourth proportional to 409,371.80, 614,276.40 and 184,766.90 is: 277,249.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,371.80 : 614,276.40 = 184,766.90 : x
  2. Step 2: Convert to fraction form
    409,371.80/614,276.40 = 184,766.90/x
  3. Step 3: Cross multiply
    409,371.80x = 614,276.40 × 184,766.90
  4. Step 4: Simplify right side
    409,371.80x = 113,497,946,171.16
  5. Step 5: Solve for x
    x = 113,497,946,171.16/409,371.80
  6. Step 6: Final answer
    x = 277,249.06

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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.