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Finding the Fourth Proportional to 264,005.40, 396,008.10 and 256,229.40

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Solution

The fourth proportional to 264,005.40, 396,008.10 and 256,229.40 is: 384,344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,005.40 : 396,008.10 = 256,229.40 : x
  2. Step 2: Convert to fraction form
    264,005.40/396,008.10 = 256,229.40/x
  3. Step 3: Cross multiply
    264,005.40x = 396,008.10 × 256,229.40
  4. Step 4: Simplify right side
    264,005.40x = 101,468,917,858.14
  5. Step 5: Solve for x
    x = 101,468,917,858.14/264,005.40
  6. Step 6: Final answer
    x = 384,344.10

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1.5x scale

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.