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Finding the Fourth Proportional to 256,411.72, 384,548.46 and 116,029

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Solution

The fourth proportional to 256,411.72, 384,548.46 and 116,029 is: 174,012.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,411.72 : 384,548.46 = 116,029 : x
  2. Step 2: Convert to fraction form
    256,411.72/384,548.46 = 116,029/x
  3. Step 3: Cross multiply
    256,411.72x = 384,548.46 × 116,029
  4. Step 4: Simplify right side
    256,411.72x = 44,618,773,265.34
  5. Step 5: Solve for x
    x = 44,618,773,265.34/256,411.72
  6. Step 6: Final answer
    x = 174,012.22

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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.