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Finding the Fourth Proportional to 433,756.85, 598,584.38 and 242,770.23

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Solution

The fourth proportional to 433,756.85, 598,584.38 and 242,770.23 is: 335,022.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,756.85 : 598,584.38 = 242,770.23 : x
  2. Step 2: Convert to fraction form
    433,756.85/598,584.38 = 242,770.23/x
  3. Step 3: Cross multiply
    433,756.85x = 598,584.38 × 242,770.23
  4. Step 4: Simplify right side
    433,756.85x = 145,318,466,393.16
  5. Step 5: Solve for x
    x = 145,318,466,393.16/433,756.85
  6. Step 6: Final answer
    x = 335,022.88

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Why These Related Problems?

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