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Finding the Fourth Proportional to 296,286, 408,875.49 and 162,150

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Solution

The fourth proportional to 296,286, 408,875.49 and 162,150 is: 223,767.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,286 : 408,875.49 = 162,150 : x
  2. Step 2: Convert to fraction form
    296,286/408,875.49 = 162,150/x
  3. Step 3: Cross multiply
    296,286x = 408,875.49 × 162,150
  4. Step 4: Simplify right side
    296,286x = 66,299,160,703.50
  5. Step 5: Solve for x
    x = 66,299,160,703.50/296,286
  6. Step 6: Final answer
    x = 223,767.44

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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.