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Finding the Fourth Proportional to 433,673.41, 598,191.63 and 347,838.36

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Solution

The fourth proportional to 433,673.41, 598,191.63 and 347,838.36 is: 479,794.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,673.41 : 598,191.63 = 347,838.36 : x
  2. Step 2: Convert to fraction form
    433,673.41/598,191.63 = 347,838.36/x
  3. Step 3: Cross multiply
    433,673.41x = 598,191.63 × 347,838.36
  4. Step 4: Simplify right side
    433,673.41x = 208,073,995,544.93
  5. Step 5: Solve for x
    x = 208,073,995,544.93/433,673.41
  6. Step 6: Final answer
    x = 479,794.22

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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.