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Finding the Fourth Proportional to 469,156, 647,435.28 and 257,188

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Solution

The fourth proportional to 469,156, 647,435.28 and 257,188 is: 354,919.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,156 : 647,435.28 = 257,188 : x
  2. Step 2: Convert to fraction form
    469,156/647,435.28 = 257,188/x
  3. Step 3: Cross multiply
    469,156x = 647,435.28 × 257,188
  4. Step 4: Simplify right side
    469,156x = 166,512,584,792.64
  5. Step 5: Solve for x
    x = 166,512,584,792.64/469,156
  6. Step 6: Final answer
    x = 354,919.44

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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.