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Finding the Fourth Proportional to 318,305.34, 477,458.13 and 81,648

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Solution

The fourth proportional to 318,305.34, 477,458.13 and 81,648 is: 122,472.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,305.34 : 477,458.13 = 81,648 : x
  2. Step 2: Convert to fraction form
    318,305.34/477,458.13 = 81,648/x
  3. Step 3: Cross multiply
    318,305.34x = 477,458.13 × 81,648
  4. Step 4: Simplify right side
    318,305.34x = 38,983,501,398.24
  5. Step 5: Solve for x
    x = 38,983,501,398.24/318,305.34
  6. Step 6: Final answer
    x = 122,472.03

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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.