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Finding the Fourth Proportional to 331,807.01, 497,710.35 and 82,489.01

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Solution

The fourth proportional to 331,807.01, 497,710.35 and 82,489.01 is: 123,733.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,807.01 : 497,710.35 = 82,489.01 : x
  2. Step 2: Convert to fraction form
    331,807.01/497,710.35 = 82,489.01/x
  3. Step 3: Cross multiply
    331,807.01x = 497,710.35 × 82,489.01
  4. Step 4: Simplify right side
    331,807.01x = 41,055,631,549.70
  5. Step 5: Solve for x
    x = 41,055,631,549.70/331,807.01
  6. Step 6: Final answer
    x = 123,733.47

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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.