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Finding the Fourth Proportional to 296,321.50, 408,926.55 and 162,188.38

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Solution

The fourth proportional to 296,321.50, 408,926.55 and 162,188.38 is: 223,821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,321.50 : 408,926.55 = 162,188.38 : x
  2. Step 2: Convert to fraction form
    296,321.50/408,926.55 = 162,188.38/x
  3. Step 3: Cross multiply
    296,321.50x = 408,926.55 × 162,188.38
  4. Step 4: Simplify right side
    296,321.50x = 66,323,134,683.49
  5. Step 5: Solve for x
    x = 66,323,134,683.49/296,321.50
  6. Step 6: Final answer
    x = 223,821.54

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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.