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Finding the Fourth Proportional to 331,356.07, 497,034.10 and 82,038.07

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Solution

The fourth proportional to 331,356.07, 497,034.10 and 82,038.07 is: 123,057.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,356.07 : 497,034.10 = 82,038.07 : x
  2. Step 2: Convert to fraction form
    331,356.07/497,034.10 = 82,038.07/x
  3. Step 3: Cross multiply
    331,356.07x = 497,034.10 × 82,038.07
  4. Step 4: Simplify right side
    331,356.07x = 40,775,715,803.02
  5. Step 5: Solve for x
    x = 40,775,715,803.02/331,356.07
  6. Step 6: Final answer
    x = 123,057.10

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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.