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Finding the Fourth Proportional to 417,105, 575,601.48 and 226,113.48

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Solution

The fourth proportional to 417,105, 575,601.48 and 226,113.48 is: 312,034.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,105 : 575,601.48 = 226,113.48 : x
  2. Step 2: Convert to fraction form
    417,105/575,601.48 = 226,113.48/x
  3. Step 3: Cross multiply
    417,105x = 575,601.48 × 226,113.48
  4. Step 4: Simplify right side
    417,105x = 130,151,253,735.95
  5. Step 5: Solve for x
    x = 130,151,253,735.95/417,105
  6. Step 6: Final answer
    x = 312,034.75

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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.