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Finding the Fourth Proportional to 290,716.80, 436,075.20 and 227,731.20

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Solution

The fourth proportional to 290,716.80, 436,075.20 and 227,731.20 is: 341,596.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,716.80 : 436,075.20 = 227,731.20 : x
  2. Step 2: Convert to fraction form
    290,716.80/436,075.20 = 227,731.20/x
  3. Step 3: Cross multiply
    290,716.80x = 436,075.20 × 227,731.20
  4. Step 4: Simplify right side
    290,716.80x = 99,307,928,586.24
  5. Step 5: Solve for x
    x = 99,307,928,586.24/290,716.80
  6. Step 6: Final answer
    x = 341,596.80

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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.