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Finding the Fourth Proportional to 257,414.40, 386,380.80 and 124,401.60

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Solution

The fourth proportional to 257,414.40, 386,380.80 and 124,401.60 is: 186,727.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,414.40 : 386,380.80 = 124,401.60 : x
  2. Step 2: Convert to fraction form
    257,414.40/386,380.80 = 124,401.60/x
  3. Step 3: Cross multiply
    257,414.40x = 386,380.80 × 124,401.60
  4. Step 4: Simplify right side
    257,414.40x = 48,066,389,729.28
  5. Step 5: Solve for x
    x = 48,066,389,729.28/257,414.40
  6. Step 6: Final answer
    x = 186,727.66

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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.