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Finding the Fourth Proportional to 323,178.24, 446,004.36 and 194,156.18

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Solution

The fourth proportional to 323,178.24, 446,004.36 and 194,156.18 is: 267,946.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,178.24 : 446,004.36 = 194,156.18 : x
  2. Step 2: Convert to fraction form
    323,178.24/446,004.36 = 194,156.18/x
  3. Step 3: Cross multiply
    323,178.24x = 446,004.36 × 194,156.18
  4. Step 4: Simplify right side
    323,178.24x = 86,594,502,800.94
  5. Step 5: Solve for x
    x = 86,594,502,800.94/323,178.24
  6. Step 6: Final answer
    x = 267,946.58

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