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Finding the Fourth Proportional to 412,468.80, 618,703.20 and 362,605.20

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Solution

The fourth proportional to 412,468.80, 618,703.20 and 362,605.20 is: 543,907.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,468.80 : 618,703.20 = 362,605.20 : x
  2. Step 2: Convert to fraction form
    412,468.80/618,703.20 = 362,605.20/x
  3. Step 3: Cross multiply
    412,468.80x = 618,703.20 × 362,605.20
  4. Step 4: Simplify right side
    412,468.80x = 224,344,997,576.64
  5. Step 5: Solve for x
    x = 224,344,997,576.64/412,468.80
  6. Step 6: Final answer
    x = 543,907.80

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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.