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Finding the Fourth Proportional to 469,706.23, 648,197.19 and 254,846.71

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Solution

The fourth proportional to 469,706.23, 648,197.19 and 254,846.71 is: 351,689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,706.23 : 648,197.19 = 254,846.71 : x
  2. Step 2: Convert to fraction form
    469,706.23/648,197.19 = 254,846.71/x
  3. Step 3: Cross multiply
    469,706.23x = 648,197.19 × 254,846.71
  4. Step 4: Simplify right side
    469,706.23x = 165,190,916,787.53
  5. Step 5: Solve for x
    x = 165,190,916,787.53/469,706.23
  6. Step 6: Final answer
    x = 351,689.86

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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.