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Finding the Fourth Proportional to 328,077, 452,746.26 and 177,174

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Solution

The fourth proportional to 328,077, 452,746.26 and 177,174 is: 244,500.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,077 : 452,746.26 = 177,174 : x
  2. Step 2: Convert to fraction form
    328,077/452,746.26 = 177,174/x
  3. Step 3: Cross multiply
    328,077x = 452,746.26 × 177,174
  4. Step 4: Simplify right side
    328,077x = 80,214,865,869.24
  5. Step 5: Solve for x
    x = 80,214,865,869.24/328,077
  6. Step 6: Final answer
    x = 244,500.12

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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.