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Finding the Fourth Proportional to 264,003.40, 396,005.10 and 256,227.40

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Solution

The fourth proportional to 264,003.40, 396,005.10 and 256,227.40 is: 384,341.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,003.40 : 396,005.10 = 256,227.40 : x
  2. Step 2: Convert to fraction form
    264,003.40/396,005.10 = 256,227.40/x
  3. Step 3: Cross multiply
    264,003.40x = 396,005.10 × 256,227.40
  4. Step 4: Simplify right side
    264,003.40x = 101,467,357,159.74
  5. Step 5: Solve for x
    x = 101,467,357,159.74/264,003.40
  6. Step 6: Final answer
    x = 384,341.10

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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.