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Finding the Fourth Proportional to 433,829.70, 650,744.55 and 223,877.70

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Solution

The fourth proportional to 433,829.70, 650,744.55 and 223,877.70 is: 335,816.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,829.70 : 650,744.55 = 223,877.70 : x
  2. Step 2: Convert to fraction form
    433,829.70/650,744.55 = 223,877.70/x
  3. Step 3: Cross multiply
    433,829.70x = 650,744.55 × 223,877.70
  4. Step 4: Simplify right side
    433,829.70x = 145,687,193,141.54
  5. Step 5: Solve for x
    x = 145,687,193,141.54/433,829.70
  6. Step 6: Final answer
    x = 335,816.55

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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.