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Finding the Fourth Proportional to 268,943.80, 403,415.70 and 194,294.20

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Solution

The fourth proportional to 268,943.80, 403,415.70 and 194,294.20 is: 291,441.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,943.80 : 403,415.70 = 194,294.20 : x
  2. Step 2: Convert to fraction form
    268,943.80/403,415.70 = 194,294.20/x
  3. Step 3: Cross multiply
    268,943.80x = 403,415.70 × 194,294.20
  4. Step 4: Simplify right side
    268,943.80x = 78,381,330,698.94
  5. Step 5: Solve for x
    x = 78,381,330,698.94/268,943.80
  6. Step 6: Final answer
    x = 291,441.30

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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.