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Finding the Fourth Proportional to 416,682.77, 575,022.25 and 225,696.22

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Solution

The fourth proportional to 416,682.77, 575,022.25 and 225,696.22 is: 311,460.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,682.77 : 575,022.25 = 225,696.22 : x
  2. Step 2: Convert to fraction form
    416,682.77/575,022.25 = 225,696.22/x
  3. Step 3: Cross multiply
    416,682.77x = 575,022.25 × 225,696.22
  4. Step 4: Simplify right side
    416,682.77x = 129,780,347,676.65
  5. Step 5: Solve for x
    x = 129,780,347,676.65/416,682.77
  6. Step 6: Final answer
    x = 311,460.80

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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.