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Finding the Fourth Proportional to 597,178, 824,105.64 and 328,906

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Solution

The fourth proportional to 597,178, 824,105.64 and 328,906 is: 453,890.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,178 : 824,105.64 = 328,906 : x
  2. Step 2: Convert to fraction form
    597,178/824,105.64 = 328,906/x
  3. Step 3: Cross multiply
    597,178x = 824,105.64 × 328,906
  4. Step 4: Simplify right side
    597,178x = 271,053,289,629.84
  5. Step 5: Solve for x
    x = 271,053,289,629.84/597,178
  6. Step 6: Final answer
    x = 453,890.28

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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.