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Finding the Fourth Proportional to 296,213, 408,773.94 and 162,077

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Solution

The fourth proportional to 296,213, 408,773.94 and 162,077 is: 223,666.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,213 : 408,773.94 = 162,077 : x
  2. Step 2: Convert to fraction form
    296,213/408,773.94 = 162,077/x
  3. Step 3: Cross multiply
    296,213x = 408,773.94 × 162,077
  4. Step 4: Simplify right side
    296,213x = 66,252,853,873.38
  5. Step 5: Solve for x
    x = 66,252,853,873.38/296,213
  6. Step 6: Final answer
    x = 223,666.26

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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.