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Finding the Fourth Proportional to 264,015.40, 396,023.10 and 256,239.40

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Solution

The fourth proportional to 264,015.40, 396,023.10 and 256,239.40 is: 384,359.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,015.40 : 396,023.10 = 256,239.40 : x
  2. Step 2: Convert to fraction form
    264,015.40/396,023.10 = 256,239.40/x
  3. Step 3: Cross multiply
    264,015.40x = 396,023.10 × 256,239.40
  4. Step 4: Simplify right side
    264,015.40x = 101,476,721,530.14
  5. Step 5: Solve for x
    x = 101,476,721,530.14/264,015.40
  6. Step 6: Final answer
    x = 384,359.10

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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.