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Finding the Fourth Proportional to 416,844.51, 575,245.65 and 225,858.06

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Solution

The fourth proportional to 416,844.51, 575,245.65 and 225,858.06 is: 311,684.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,844.51 : 575,245.65 = 225,858.06 : x
  2. Step 2: Convert to fraction form
    416,844.51/575,245.65 = 225,858.06/x
  3. Step 3: Cross multiply
    416,844.51x = 575,245.65 × 225,858.06
  4. Step 4: Simplify right side
    416,844.51x = 129,923,866,532.44
  5. Step 5: Solve for x
    x = 129,923,866,532.44/416,844.51
  6. Step 6: Final answer
    x = 311,684.25

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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.