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Finding the Fourth Proportional to 344,978.28, 476,069.28 and 194,075.28

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Solution

The fourth proportional to 344,978.28, 476,069.28 and 194,075.28 is: 267,823.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,978.28 : 476,069.28 = 194,075.28 : x
  2. Step 2: Convert to fraction form
    344,978.28/476,069.28 = 194,075.28/x
  3. Step 3: Cross multiply
    344,978.28x = 476,069.28 × 194,075.28
  4. Step 4: Simplify right side
    344,978.28x = 92,393,278,815.40
  5. Step 5: Solve for x
    x = 92,393,278,815.40/344,978.28
  6. Step 6: Final answer
    x = 267,823.47

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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.