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Finding the Fourth Proportional to 318,310.50, 477,364.31 and 105,038.66

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Solution

The fourth proportional to 318,310.50, 477,364.31 and 105,038.66 is: 157,524.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,310.50 : 477,364.31 = 105,038.66 : x
  2. Step 2: Convert to fraction form
    318,310.50/477,364.31 = 105,038.66/x
  3. Step 3: Cross multiply
    318,310.50x = 477,364.31 × 105,038.66
  4. Step 4: Simplify right side
    318,310.50x = 50,141,708,910.23
  5. Step 5: Solve for x
    x = 50,141,708,910.23/318,310.50
  6. Step 6: Final answer
    x = 157,524.52

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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.