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Finding the Fourth Proportional to 417,224.39, 575,769.97 and 226,237.77

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Solution

The fourth proportional to 417,224.39, 575,769.97 and 226,237.77 is: 312,208.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,224.39 : 575,769.97 = 226,237.77 : x
  2. Step 2: Convert to fraction form
    417,224.39/575,769.97 = 226,237.77/x
  3. Step 3: Cross multiply
    417,224.39x = 575,769.97 × 226,237.77
  4. Step 4: Simplify right side
    417,224.39x = 130,260,914,328.56
  5. Step 5: Solve for x
    x = 130,260,914,328.56/417,224.39
  6. Step 6: Final answer
    x = 312,208.30

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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.