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Finding the Fourth Proportional to 647,762.16, 971,672.28 and 198,450.16

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Solution

The fourth proportional to 647,762.16, 971,672.28 and 198,450.16 is: 297,684.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,762.16 : 971,672.28 = 198,450.16 : x
  2. Step 2: Convert to fraction form
    647,762.16/971,672.28 = 198,450.16/x
  3. Step 3: Cross multiply
    647,762.16x = 971,672.28 × 198,450.16
  4. Step 4: Simplify right side
    647,762.16x = 192,828,519,433.57
  5. Step 5: Solve for x
    x = 192,828,519,433.57/647,762.16
  6. Step 6: Final answer
    x = 297,684.14

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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.