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Finding the Fourth Proportional to 296,393, 409,022.34 and 162,257

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Solution

The fourth proportional to 296,393, 409,022.34 and 162,257 is: 223,914.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,393 : 409,022.34 = 162,257 : x
  2. Step 2: Convert to fraction form
    296,393/409,022.34 = 162,257/x
  3. Step 3: Cross multiply
    296,393x = 409,022.34 × 162,257
  4. Step 4: Simplify right side
    296,393x = 66,366,737,821.38
  5. Step 5: Solve for x
    x = 66,366,737,821.38/296,393
  6. Step 6: Final answer
    x = 223,914.66

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1.5x scale

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.