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Finding the Fourth Proportional to 272,346.80, 408,082.80 and 256,600.40

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Solution

The fourth proportional to 272,346.80, 408,082.80 and 256,600.40 is: 384,488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,346.80 : 408,082.80 = 256,600.40 : x
  2. Step 2: Convert to fraction form
    272,346.80/408,082.80 = 256,600.40/x
  3. Step 3: Cross multiply
    272,346.80x = 408,082.80 × 256,600.40
  4. Step 4: Simplify right side
    272,346.80x = 104,714,209,713.12
  5. Step 5: Solve for x
    x = 104,714,209,713.12/272,346.80
  6. Step 6: Final answer
    x = 384,488.49

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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.