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Finding the Fourth Proportional to 417,191.25, 575,723.94 and 226,204.59

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Solution

The fourth proportional to 417,191.25, 575,723.94 and 226,204.59 is: 312,162.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,191.25 : 575,723.94 = 226,204.59 : x
  2. Step 2: Convert to fraction form
    417,191.25/575,723.94 = 226,204.59/x
  3. Step 3: Cross multiply
    417,191.25x = 575,723.94 × 226,204.59
  4. Step 4: Simplify right side
    417,191.25x = 130,231,397,800.89
  5. Step 5: Solve for x
    x = 130,231,397,800.89/417,191.25
  6. Step 6: Final answer
    x = 312,162.34

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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.