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Finding the Fourth Proportional to 331,830.70, 497,746.05 and 82,512.70

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Solution

The fourth proportional to 331,830.70, 497,746.05 and 82,512.70 is: 123,769.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,830.70 : 497,746.05 = 82,512.70 : x
  2. Step 2: Convert to fraction form
    331,830.70/497,746.05 = 82,512.70/x
  3. Step 3: Cross multiply
    331,830.70x = 497,746.05 × 82,512.70
  4. Step 4: Simplify right side
    331,830.70x = 41,070,370,499.84
  5. Step 5: Solve for x
    x = 41,070,370,499.84/331,830.70
  6. Step 6: Final answer
    x = 123,769.05

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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.