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Finding the Fourth Proportional to 294,431.30, 441,405.58 and 104,783.67

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Solution

The fourth proportional to 294,431.30, 441,405.58 and 104,783.67 is: 157,089.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,431.30 : 441,405.58 = 104,783.67 : x
  2. Step 2: Convert to fraction form
    294,431.30/441,405.58 = 104,783.67/x
  3. Step 3: Cross multiply
    294,431.30x = 441,405.58 × 104,783.67
  4. Step 4: Simplify right side
    294,431.30x = 46,252,096,630.88
  5. Step 5: Solve for x
    x = 46,252,096,630.88/294,431.30
  6. Step 6: Final answer
    x = 157,089.61

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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.