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Finding the Fourth Proportional to 294,116.78, 405,847.79 and 165,038.36

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Solution

The fourth proportional to 294,116.78, 405,847.79 and 165,038.36 is: 227,734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,116.78 : 405,847.79 = 165,038.36 : x
  2. Step 2: Convert to fraction form
    294,116.78/405,847.79 = 165,038.36/x
  3. Step 3: Cross multiply
    294,116.78x = 405,847.79 × 165,038.36
  4. Step 4: Simplify right side
    294,116.78x = 66,980,450,816.79
  5. Step 5: Solve for x
    x = 66,980,450,816.79/294,116.78
  6. Step 6: Final answer
    x = 227,734.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.