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Finding the Fourth Proportional to 433,085.44, 649,456.08 and 166,698.40

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Solution

The fourth proportional to 433,085.44, 649,456.08 and 166,698.40 is: 249,981.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,085.44 : 649,456.08 = 166,698.40 : x
  2. Step 2: Convert to fraction form
    433,085.44/649,456.08 = 166,698.40/x
  3. Step 3: Cross multiply
    433,085.44x = 649,456.08 × 166,698.40
  4. Step 4: Simplify right side
    433,085.44x = 108,263,289,406.27
  5. Step 5: Solve for x
    x = 108,263,289,406.27/433,085.44
  6. Step 6: Final answer
    x = 249,981.36

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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.