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Finding the Fourth Proportional to 273,382.40, 410,073.60 and 189,401.60

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Solution

The fourth proportional to 273,382.40, 410,073.60 and 189,401.60 is: 284,102.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,382.40 : 410,073.60 = 189,401.60 : x
  2. Step 2: Convert to fraction form
    273,382.40/410,073.60 = 189,401.60/x
  3. Step 3: Cross multiply
    273,382.40x = 410,073.60 × 189,401.60
  4. Step 4: Simplify right side
    273,382.40x = 77,668,595,957.76
  5. Step 5: Solve for x
    x = 77,668,595,957.76/273,382.40
  6. Step 6: Final answer
    x = 284,102.40

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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.