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Finding the Fourth Proportional to 296,301, 408,895.38 and 162,165

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Solution

The fourth proportional to 296,301, 408,895.38 and 162,165 is: 223,787.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,301 : 408,895.38 = 162,165 : x
  2. Step 2: Convert to fraction form
    296,301/408,895.38 = 162,165/x
  3. Step 3: Cross multiply
    296,301x = 408,895.38 × 162,165
  4. Step 4: Simplify right side
    296,301x = 66,308,519,297.70
  5. Step 5: Solve for x
    x = 66,308,519,297.70/296,301
  6. Step 6: Final answer
    x = 223,787.70

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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.