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Finding the Fourth Proportional to 381,016.40, 570,941.40 and 360,021.20

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Solution

The fourth proportional to 381,016.40, 570,941.40 and 360,021.20 is: 539,480.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,016.40 : 570,941.40 = 360,021.20 : x
  2. Step 2: Convert to fraction form
    381,016.40/570,941.40 = 360,021.20/x
  3. Step 3: Cross multiply
    381,016.40x = 570,941.40 × 360,021.20
  4. Step 4: Simplify right side
    381,016.40x = 205,551,007,957.68
  5. Step 5: Solve for x
    x = 205,551,007,957.68/381,016.40
  6. Step 6: Final answer
    x = 539,480.74

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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.