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Finding the Fourth Proportional to 292,676.46, 439,014.74 and 82,314.39

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Solution

The fourth proportional to 292,676.46, 439,014.74 and 82,314.39 is: 123,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,676.46 : 439,014.74 = 82,314.39 : x
  2. Step 2: Convert to fraction form
    292,676.46/439,014.74 = 82,314.39/x
  3. Step 3: Cross multiply
    292,676.46x = 439,014.74 × 82,314.39
  4. Step 4: Simplify right side
    292,676.46x = 36,137,231,758.84
  5. Step 5: Solve for x
    x = 36,137,231,758.84/292,676.46
  6. Step 6: Final answer
    x = 123,471.60

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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.