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Finding the Fourth Proportional to 256,330.85, 384,161.84 and 185,492.09

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Solution

The fourth proportional to 256,330.85, 384,161.84 and 185,492.09 is: 277,996.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,330.85 : 384,161.84 = 185,492.09 : x
  2. Step 2: Convert to fraction form
    256,330.85/384,161.84 = 185,492.09/x
  3. Step 3: Cross multiply
    256,330.85x = 384,161.84 × 185,492.09
  4. Step 4: Simplify right side
    256,330.85x = 71,258,983,328.39
  5. Step 5: Solve for x
    x = 71,258,983,328.39/256,330.85
  6. Step 6: Final answer
    x = 277,996.13

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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.