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Finding the Fourth Proportional to 433,090.80, 649,636.20 and 117,586.80

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Solution

The fourth proportional to 433,090.80, 649,636.20 and 117,586.80 is: 176,380.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,090.80 : 649,636.20 = 117,586.80 : x
  2. Step 2: Convert to fraction form
    433,090.80/649,636.20 = 117,586.80/x
  3. Step 3: Cross multiply
    433,090.80x = 649,636.20 × 117,586.80
  4. Step 4: Simplify right side
    433,090.80x = 76,388,641,922.16
  5. Step 5: Solve for x
    x = 76,388,641,922.16/433,090.80
  6. Step 6: Final answer
    x = 176,380.20

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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.