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Finding the Fourth Proportional to 517,202.88, 775,804.32 and 143,217.60

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Solution

The fourth proportional to 517,202.88, 775,804.32 and 143,217.60 is: 214,826.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,202.88 : 775,804.32 = 143,217.60 : x
  2. Step 2: Convert to fraction form
    517,202.88/775,804.32 = 143,217.60/x
  3. Step 3: Cross multiply
    517,202.88x = 775,804.32 × 143,217.60
  4. Step 4: Simplify right side
    517,202.88x = 111,108,832,780.03
  5. Step 5: Solve for x
    x = 111,108,832,780.03/517,202.88
  6. Step 6: Final answer
    x = 214,826.40

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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.