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Finding the Fourth Proportional to 256,603.20, 384,127.20 and 193,876.80

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Solution

The fourth proportional to 256,603.20, 384,127.20 and 193,876.80 is: 290,227.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,603.20 : 384,127.20 = 193,876.80 : x
  2. Step 2: Convert to fraction form
    256,603.20/384,127.20 = 193,876.80/x
  3. Step 3: Cross multiply
    256,603.20x = 384,127.20 × 193,876.80
  4. Step 4: Simplify right side
    256,603.20x = 74,473,352,328.96
  5. Step 5: Solve for x
    x = 74,473,352,328.96/256,603.20
  6. Step 6: Final answer
    x = 290,227.68

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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.