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Finding the Fourth Proportional to 434,037.14, 599,178.84 and 289,084

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Solution

The fourth proportional to 434,037.14, 599,178.84 and 289,084 is: 399,074.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,037.14 : 599,178.84 = 289,084 : x
  2. Step 2: Convert to fraction form
    434,037.14/599,178.84 = 289,084/x
  3. Step 3: Cross multiply
    434,037.14x = 599,178.84 × 289,084
  4. Step 4: Simplify right side
    434,037.14x = 173,213,015,782.56
  5. Step 5: Solve for x
    x = 173,213,015,782.56/434,037.14
  6. Step 6: Final answer
    x = 399,074.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.