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Finding the Fourth Proportional to 412,302.80, 618,367.80 and 202,091.60

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Solution

The fourth proportional to 412,302.80, 618,367.80 and 202,091.60 is: 303,095.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,302.80 : 618,367.80 = 202,091.60 : x
  2. Step 2: Convert to fraction form
    412,302.80/618,367.80 = 202,091.60/x
  3. Step 3: Cross multiply
    412,302.80x = 618,367.80 × 202,091.60
  4. Step 4: Simplify right side
    412,302.80x = 124,966,938,090.48
  5. Step 5: Solve for x
    x = 124,966,938,090.48/412,302.80
  6. Step 6: Final answer
    x = 303,095.05

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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.