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Finding the Fourth Proportional to 523,760.46, 785,516.12 and 144,672.80

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Solution

The fourth proportional to 523,760.46, 785,516.12 and 144,672.80 is: 216,974.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,760.46 : 785,516.12 = 144,672.80 : x
  2. Step 2: Convert to fraction form
    523,760.46/785,516.12 = 144,672.80/x
  3. Step 3: Cross multiply
    523,760.46x = 785,516.12 × 144,672.80
  4. Step 4: Simplify right side
    523,760.46x = 113,642,816,525.54
  5. Step 5: Solve for x
    x = 113,642,816,525.54/523,760.46
  6. Step 6: Final answer
    x = 216,974.79

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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.