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Finding the Fourth Proportional to 432,942.76, 597,457.38 and 241,953.96

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Solution

The fourth proportional to 432,942.76, 597,457.38 and 241,953.96 is: 333,894.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,942.76 : 597,457.38 = 241,953.96 : x
  2. Step 2: Convert to fraction form
    432,942.76/597,457.38 = 241,953.96/x
  3. Step 3: Cross multiply
    432,942.76x = 597,457.38 × 241,953.96
  4. Step 4: Simplify right side
    432,942.76x = 144,557,179,022.23
  5. Step 5: Solve for x
    x = 144,557,179,022.23/432,942.76
  6. Step 6: Final answer
    x = 333,894.44

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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.