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Finding the Fourth Proportional to 369,452.69, 509,844.46 and 199,686.81

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Solution

The fourth proportional to 369,452.69, 509,844.46 and 199,686.81 is: 275,567.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,452.69 : 509,844.46 = 199,686.81 : x
  2. Step 2: Convert to fraction form
    369,452.69/509,844.46 = 199,686.81/x
  3. Step 3: Cross multiply
    369,452.69x = 509,844.46 × 199,686.81
  4. Step 4: Simplify right side
    369,452.69x = 101,809,214,646.22
  5. Step 5: Solve for x
    x = 101,809,214,646.22/369,452.69
  6. Step 6: Final answer
    x = 275,567.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.