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Finding the Fourth Proportional to 293,905.20, 412,400.40 and 293,905.20

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Solution

The fourth proportional to 293,905.20, 412,400.40 and 293,905.20 is: 412,400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,905.20 : 412,400.40 = 293,905.20 : x
  2. Step 2: Convert to fraction form
    293,905.20/412,400.40 = 293,905.20/x
  3. Step 3: Cross multiply
    293,905.20x = 412,400.40 × 293,905.20
  4. Step 4: Simplify right side
    293,905.20x = 121,206,622,042.08
  5. Step 5: Solve for x
    x = 121,206,622,042.08/293,905.20
  6. Step 6: Final answer
    x = 412,400.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.