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Finding the Fourth Proportional to 785,401, 1,178,101.50 and 194,425

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Solution

The fourth proportional to 785,401, 1,178,101.50 and 194,425 is: 291,637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,401 : 1,178,101.50 = 194,425 : x
  2. Step 2: Convert to fraction form
    785,401/1,178,101.50 = 194,425/x
  3. Step 3: Cross multiply
    785,401x = 1,178,101.50 × 194,425
  4. Step 4: Simplify right side
    785,401x = 229,052,384,137.50
  5. Step 5: Solve for x
    x = 229,052,384,137.50/785,401
  6. Step 6: Final answer
    x = 291,637.50

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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.