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Finding the Fourth Proportional to 294,421.60, 441,632.40 and 274,738.60

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Solution

The fourth proportional to 294,421.60, 441,632.40 and 274,738.60 is: 412,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,421.60 : 441,632.40 = 274,738.60 : x
  2. Step 2: Convert to fraction form
    294,421.60/441,632.40 = 274,738.60/x
  3. Step 3: Cross multiply
    294,421.60x = 441,632.40 × 274,738.60
  4. Step 4: Simplify right side
    294,421.60x = 121,333,467,290.64
  5. Step 5: Solve for x
    x = 121,333,467,290.64/294,421.60
  6. Step 6: Final answer
    x = 412,107.90

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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.