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Finding the Fourth Proportional to 273,643.85, 410,465.78 and 273,643.85

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Solution

The fourth proportional to 273,643.85, 410,465.78 and 273,643.85 is: 410,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,643.85 : 410,465.78 = 273,643.85 : x
  2. Step 2: Convert to fraction form
    273,643.85/410,465.78 = 273,643.85/x
  3. Step 3: Cross multiply
    273,643.85x = 410,465.78 × 273,643.85
  4. Step 4: Simplify right side
    273,643.85x = 112,321,434,964.23
  5. Step 5: Solve for x
    x = 112,321,434,964.23/273,643.85
  6. Step 6: Final answer
    x = 410,465.78

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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.