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Finding the Fourth Proportional to 433,642.56, 598,384.56 and 252,378.48

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Solution

The fourth proportional to 433,642.56, 598,384.56 and 252,378.48 is: 348,257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,642.56 : 598,384.56 = 252,378.48 : x
  2. Step 2: Convert to fraction form
    433,642.56/598,384.56 = 252,378.48/x
  3. Step 3: Cross multiply
    433,642.56x = 598,384.56 × 252,378.48
  4. Step 4: Simplify right side
    433,642.56x = 151,019,385,708.27
  5. Step 5: Solve for x
    x = 151,019,385,708.27/433,642.56
  6. Step 6: Final answer
    x = 348,257.76

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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.