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Finding the Fourth Proportional to 469,441.96, 647,818.50 and 268,225

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Solution

The fourth proportional to 469,441.96, 647,818.50 and 268,225 is: 370,143.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,441.96 : 647,818.50 = 268,225 : x
  2. Step 2: Convert to fraction form
    469,441.96/647,818.50 = 268,225/x
  3. Step 3: Cross multiply
    469,441.96x = 647,818.50 × 268,225
  4. Step 4: Simplify right side
    469,441.96x = 173,761,117,162.50
  5. Step 5: Solve for x
    x = 173,761,117,162.50/469,441.96
  6. Step 6: Final answer
    x = 370,143.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.