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Finding the Fourth Proportional to 464,428.86, 696,953.97 and 168,940.86

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Solution

The fourth proportional to 464,428.86, 696,953.97 and 168,940.86 is: 253,524.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,428.86 : 696,953.97 = 168,940.86 : x
  2. Step 2: Convert to fraction form
    464,428.86/696,953.97 = 168,940.86/x
  3. Step 3: Cross multiply
    464,428.86x = 696,953.97 × 168,940.86
  4. Step 4: Simplify right side
    464,428.86x = 117,744,003,072.21
  5. Step 5: Solve for x
    x = 117,744,003,072.21/464,428.86
  6. Step 6: Final answer
    x = 253,524.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.