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Finding the Fourth Proportional to 647,805.94, 971,885.45 and 198,516.86

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Solution

The fourth proportional to 647,805.94, 971,885.45 and 198,516.86 is: 297,829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,805.94 : 971,885.45 = 198,516.86 : x
  2. Step 2: Convert to fraction form
    647,805.94/971,885.45 = 198,516.86/x
  3. Step 3: Cross multiply
    647,805.94x = 971,885.45 × 198,516.86
  4. Step 4: Simplify right side
    647,805.94x = 192,935,642,457.97
  5. Step 5: Solve for x
    x = 192,935,642,457.97/647,805.94
  6. Step 6: Final answer
    x = 297,829.38

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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.