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Finding the Fourth Proportional to 412,344.80, 618,430.80 and 202,133.60

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Solution

The fourth proportional to 412,344.80, 618,430.80 and 202,133.60 is: 303,158.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,344.80 : 618,430.80 = 202,133.60 : x
  2. Step 2: Convert to fraction form
    412,344.80/618,430.80 = 202,133.60/x
  3. Step 3: Cross multiply
    412,344.80x = 618,430.80 × 202,133.60
  4. Step 4: Simplify right side
    412,344.80x = 125,005,643,954.88
  5. Step 5: Solve for x
    x = 125,005,643,954.88/412,344.80
  6. Step 6: Final answer
    x = 303,158.05

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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.