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Finding the Fourth Proportional to 290,604.80, 435,907.20 and 103,548.80

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Solution

The fourth proportional to 290,604.80, 435,907.20 and 103,548.80 is: 155,323.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,604.80 : 435,907.20 = 103,548.80 : x
  2. Step 2: Convert to fraction form
    290,604.80/435,907.20 = 103,548.80/x
  3. Step 3: Cross multiply
    290,604.80x = 435,907.20 × 103,548.80
  4. Step 4: Simplify right side
    290,604.80x = 45,137,667,471.36
  5. Step 5: Solve for x
    x = 45,137,667,471.36/290,604.80
  6. Step 6: Final answer
    x = 155,323.20

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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.