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Finding the Fourth Proportional to 294,084.65, 440,889.36 and 114,077.13

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Solution

The fourth proportional to 294,084.65, 440,889.36 and 114,077.13 is: 171,023.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,084.65 : 440,889.36 = 114,077.13 : x
  2. Step 2: Convert to fraction form
    294,084.65/440,889.36 = 114,077.13/x
  3. Step 3: Cross multiply
    294,084.65x = 440,889.36 × 114,077.13
  4. Step 4: Simplify right side
    294,084.65x = 50,295,392,836.34
  5. Step 5: Solve for x
    x = 50,295,392,836.34/294,084.65
  6. Step 6: Final answer
    x = 171,023.52

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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.