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Finding the Fourth Proportional to 432,835.42, 597,301.68 and 241,850.38

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Solution

The fourth proportional to 432,835.42, 597,301.68 and 241,850.38 is: 333,747.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,835.42 : 597,301.68 = 241,850.38 : x
  2. Step 2: Convert to fraction form
    432,835.42/597,301.68 = 241,850.38/x
  3. Step 3: Cross multiply
    432,835.42x = 597,301.68 × 241,850.38
  4. Step 4: Simplify right side
    432,835.42x = 144,457,638,282.64
  5. Step 5: Solve for x
    x = 144,457,638,282.64/432,835.42
  6. Step 6: Final answer
    x = 333,747.27

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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.