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Finding the Fourth Proportional to 597,174.96, 824,063.64 and 328,902.96

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Solution

The fourth proportional to 597,174.96, 824,063.64 and 328,902.96 is: 453,865.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,174.96 : 824,063.64 = 328,902.96 : x
  2. Step 2: Convert to fraction form
    597,174.96/824,063.64 = 328,902.96/x
  3. Step 3: Cross multiply
    597,174.96x = 824,063.64 × 328,902.96
  4. Step 4: Simplify right side
    597,174.96x = 271,036,970,424.37
  5. Step 5: Solve for x
    x = 271,036,970,424.37/597,174.96
  6. Step 6: Final answer
    x = 453,865.26

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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.