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Finding the Fourth Proportional to 441,722.10, 662,583.15 and 411,978.90

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Solution

The fourth proportional to 441,722.10, 662,583.15 and 411,978.90 is: 617,968.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,722.10 : 662,583.15 = 411,978.90 : x
  2. Step 2: Convert to fraction form
    441,722.10/662,583.15 = 411,978.90/x
  3. Step 3: Cross multiply
    441,722.10x = 662,583.15 × 411,978.90
  4. Step 4: Simplify right side
    441,722.10x = 272,970,277,295.54
  5. Step 5: Solve for x
    x = 272,970,277,295.54/441,722.10
  6. Step 6: Final answer
    x = 617,968.35

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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.