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Finding the Fourth Proportional to 433,052.46, 649,393.00 and 148,771.62

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Solution

The fourth proportional to 433,052.46, 649,393.00 and 148,771.62 is: 223,093.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,052.46 : 649,393.00 = 148,771.62 : x
  2. Step 2: Convert to fraction form
    433,052.46/649,393.00 = 148,771.62/x
  3. Step 3: Cross multiply
    433,052.46x = 649,393.00 × 148,771.62
  4. Step 4: Simplify right side
    433,052.46x = 96,611,248,254.73
  5. Step 5: Solve for x
    x = 96,611,248,254.73/433,052.46
  6. Step 6: Final answer
    x = 223,093.64

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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.