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Finding the Fourth Proportional to 447,704.84, 671,790.54 and 198,328.52

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Solution

The fourth proportional to 447,704.84, 671,790.54 and 198,328.52 is: 297,596.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,704.84 : 671,790.54 = 198,328.52 : x
  2. Step 2: Convert to fraction form
    447,704.84/671,790.54 = 198,328.52/x
  3. Step 3: Cross multiply
    447,704.84x = 671,790.54 × 198,328.52
  4. Step 4: Simplify right side
    447,704.84x = 133,235,223,548.20
  5. Step 5: Solve for x
    x = 133,235,223,548.20/447,704.84
  6. Step 6: Final answer
    x = 297,596.12

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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.