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Finding the Fourth Proportional to 331,784.16, 497,676.63 and 82,466.16

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Solution

The fourth proportional to 331,784.16, 497,676.63 and 82,466.16 is: 123,699.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,784.16 : 497,676.63 = 82,466.16 : x
  2. Step 2: Convert to fraction form
    331,784.16/497,676.63 = 82,466.16/x
  3. Step 3: Cross multiply
    331,784.16x = 497,676.63 × 82,466.16
  4. Step 4: Simplify right side
    331,784.16x = 41,041,480,597.84
  5. Step 5: Solve for x
    x = 41,041,480,597.84/331,784.16
  6. Step 6: Final answer
    x = 123,699.34

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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.