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Finding the Fourth Proportional to 647,763.66, 971,674.53 and 198,451.66

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Solution

The fourth proportional to 647,763.66, 971,674.53 and 198,451.66 is: 297,686.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,763.66 : 971,674.53 = 198,451.66 : x
  2. Step 2: Convert to fraction form
    647,763.66/971,674.53 = 198,451.66/x
  3. Step 3: Cross multiply
    647,763.66x = 971,674.53 × 198,451.66
  4. Step 4: Simplify right side
    647,763.66x = 192,830,423,458.22
  5. Step 5: Solve for x
    x = 192,830,423,458.22/647,763.66
  6. Step 6: Final answer
    x = 297,686.39

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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.