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Finding the Fourth Proportional to 376,769.36, 565,105.44 and 313,981.40

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Solution

The fourth proportional to 376,769.36, 565,105.44 and 313,981.40 is: 470,931.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,769.36 : 565,105.44 = 313,981.40 : x
  2. Step 2: Convert to fraction form
    376,769.36/565,105.44 = 313,981.40/x
  3. Step 3: Cross multiply
    376,769.36x = 565,105.44 × 313,981.40
  4. Step 4: Simplify right side
    376,769.36x = 177,432,597,198.82
  5. Step 5: Solve for x
    x = 177,432,597,198.82/376,769.36
  6. Step 6: Final answer
    x = 470,931.60

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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.