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Finding the Fourth Proportional to 296,393.96, 409,019.15 and 165,573.33

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Solution

The fourth proportional to 296,393.96, 409,019.15 and 165,573.33 is: 228,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,393.96 : 409,019.15 = 165,573.33 : x
  2. Step 2: Convert to fraction form
    296,393.96/409,019.15 = 165,573.33/x
  3. Step 3: Cross multiply
    296,393.96x = 409,019.15 × 165,573.33
  4. Step 4: Simplify right side
    296,393.96x = 67,722,661,579.38
  5. Step 5: Solve for x
    x = 67,722,661,579.38/296,393.96
  6. Step 6: Final answer
    x = 228,488.67

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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.