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Finding the Fourth Proportional to 296,178.81, 408,596.93 and 173,609.06

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Solution

The fourth proportional to 296,178.81, 408,596.93 and 173,609.06 is: 239,504.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,178.81 : 408,596.93 = 173,609.06 : x
  2. Step 2: Convert to fraction form
    296,178.81/408,596.93 = 173,609.06/x
  3. Step 3: Cross multiply
    296,178.81x = 408,596.93 × 173,609.06
  4. Step 4: Simplify right side
    296,178.81x = 70,936,126,025.16
  5. Step 5: Solve for x
    x = 70,936,126,025.16/296,178.81
  6. Step 6: Final answer
    x = 239,504.39

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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.