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Finding the Fourth Proportional to 522,415.22, 783,676.49 and 180,858.15

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Solution

The fourth proportional to 522,415.22, 783,676.49 and 180,858.15 is: 271,305.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,415.22 : 783,676.49 = 180,858.15 : x
  2. Step 2: Convert to fraction form
    522,415.22/783,676.49 = 180,858.15/x
  3. Step 3: Cross multiply
    522,415.22x = 783,676.49 × 180,858.15
  4. Step 4: Simplify right side
    522,415.22x = 141,734,279,275.60
  5. Step 5: Solve for x
    x = 141,734,279,275.60/522,415.22
  6. Step 6: Final answer
    x = 271,305.80

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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.