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Finding the Fourth Proportional to 378,503.64, 567,733.14 and 141,826.50

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Solution

The fourth proportional to 378,503.64, 567,733.14 and 141,826.50 is: 212,731.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,503.64 : 567,733.14 = 141,826.50 : x
  2. Step 2: Convert to fraction form
    378,503.64/567,733.14 = 141,826.50/x
  3. Step 3: Cross multiply
    378,503.64x = 567,733.14 × 141,826.50
  4. Step 4: Simplify right side
    378,503.64x = 80,519,604,180.21
  5. Step 5: Solve for x
    x = 80,519,604,180.21/378,503.64
  6. Step 6: Final answer
    x = 212,731.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.