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Finding the Fourth Proportional to 417,243.60, 575,799.77 and 226,257

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Solution

The fourth proportional to 417,243.60, 575,799.77 and 226,257 is: 312,236.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,243.60 : 575,799.77 = 226,257 : x
  2. Step 2: Convert to fraction form
    417,243.60/575,799.77 = 226,257/x
  3. Step 3: Cross multiply
    417,243.60x = 575,799.77 × 226,257
  4. Step 4: Simplify right side
    417,243.60x = 130,278,728,560.89
  5. Step 5: Solve for x
    x = 130,278,728,560.89/417,243.60
  6. Step 6: Final answer
    x = 312,236.61

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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.