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Finding the Fourth Proportional to 331,356, 497,034.01 and 82,038

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Solution

The fourth proportional to 331,356, 497,034.01 and 82,038 is: 123,057.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,356 : 497,034.01 = 82,038 : x
  2. Step 2: Convert to fraction form
    331,356/497,034.01 = 82,038/x
  3. Step 3: Cross multiply
    331,356x = 497,034.01 × 82,038
  4. Step 4: Simplify right side
    331,356x = 40,775,676,112.38
  5. Step 5: Solve for x
    x = 40,775,676,112.38/331,356
  6. Step 6: Final answer
    x = 123,057.00

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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.