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Finding the Fourth Proportional to 256,274.36, 384,411.54 and 116,029.88

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Solution

The fourth proportional to 256,274.36, 384,411.54 and 116,029.88 is: 174,044.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,274.36 : 384,411.54 = 116,029.88 : x
  2. Step 2: Convert to fraction form
    256,274.36/384,411.54 = 116,029.88/x
  3. Step 3: Cross multiply
    256,274.36x = 384,411.54 × 116,029.88
  4. Step 4: Simplify right side
    256,274.36x = 44,603,224,856.82
  5. Step 5: Solve for x
    x = 44,603,224,856.82/256,274.36
  6. Step 6: Final answer
    x = 174,044.82

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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.