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Finding the Fourth Proportional to 647,075.84, 970,616.25 and 197,794.98

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Solution

The fourth proportional to 647,075.84, 970,616.25 and 197,794.98 is: 296,693.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,075.84 : 970,616.25 = 197,794.98 : x
  2. Step 2: Convert to fraction form
    647,075.84/970,616.25 = 197,794.98/x
  3. Step 3: Cross multiply
    647,075.84x = 970,616.25 × 197,794.98
  4. Step 4: Simplify right side
    647,075.84x = 191,983,021,756.43
  5. Step 5: Solve for x
    x = 191,983,021,756.43/647,075.84
  6. Step 6: Final answer
    x = 296,693.23

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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.