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Finding the Fourth Proportional to 362,271.42, 543,232.34 and 151,852.86

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Solution

The fourth proportional to 362,271.42, 543,232.34 and 151,852.86 is: 227,706.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,271.42 : 543,232.34 = 151,852.86 : x
  2. Step 2: Convert to fraction form
    362,271.42/543,232.34 = 151,852.86/x
  3. Step 3: Cross multiply
    362,271.42x = 543,232.34 × 151,852.86
  4. Step 4: Simplify right side
    362,271.42x = 82,491,382,136.96
  5. Step 5: Solve for x
    x = 82,491,382,136.96/362,271.42
  6. Step 6: Final answer
    x = 227,706.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.