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Finding the Fourth Proportional to 417,947.24, 576,762.12 and 226,962

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Solution

The fourth proportional to 417,947.24, 576,762.12 and 226,962 is: 313,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,947.24 : 576,762.12 = 226,962 : x
  2. Step 2: Convert to fraction form
    417,947.24/576,762.12 = 226,962/x
  3. Step 3: Cross multiply
    417,947.24x = 576,762.12 × 226,962
  4. Step 4: Simplify right side
    417,947.24x = 130,903,084,279.44
  5. Step 5: Solve for x
    x = 130,903,084,279.44/417,947.24
  6. Step 6: Final answer
    x = 313,204.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.