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Finding the Fourth Proportional to 442,907.90, 664,361.85 and 411,415.10

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Solution

The fourth proportional to 442,907.90, 664,361.85 and 411,415.10 is: 617,122.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,907.90 : 664,361.85 = 411,415.10 : x
  2. Step 2: Convert to fraction form
    442,907.90/664,361.85 = 411,415.10/x
  3. Step 3: Cross multiply
    442,907.90x = 664,361.85 × 411,415.10
  4. Step 4: Simplify right side
    442,907.90x = 273,328,496,953.94
  5. Step 5: Solve for x
    x = 273,328,496,953.94/442,907.90
  6. Step 6: Final answer
    x = 617,122.65

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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.