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Finding the Fourth Proportional to 272,360.80, 408,103.80 and 256,614.40

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Solution

The fourth proportional to 272,360.80, 408,103.80 and 256,614.40 is: 384,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,360.80 : 408,103.80 = 256,614.40 : x
  2. Step 2: Convert to fraction form
    272,360.80/408,103.80 = 256,614.40/x
  3. Step 3: Cross multiply
    272,360.80x = 408,103.80 × 256,614.40
  4. Step 4: Simplify right side
    272,360.80x = 104,725,311,774.72
  5. Step 5: Solve for x
    x = 104,725,311,774.72/272,360.80
  6. Step 6: Final answer
    x = 384,509.49

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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.