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Finding the Fourth Proportional to 432,516.33, 596,889.42 and 238,934.03

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Solution

The fourth proportional to 432,516.33, 596,889.42 and 238,934.03 is: 329,738.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,516.33 : 596,889.42 = 238,934.03 : x
  2. Step 2: Convert to fraction form
    432,516.33/596,889.42 = 238,934.03/x
  3. Step 3: Cross multiply
    432,516.33x = 596,889.42 × 238,934.03
  4. Step 4: Simplify right side
    432,516.33x = 142,617,190,704.51
  5. Step 5: Solve for x
    x = 142,617,190,704.51/432,516.33
  6. Step 6: Final answer
    x = 329,738.28

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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.