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Finding the Fourth Proportional to 416,544.16, 574,830.12 and 225,556.96

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Solution

The fourth proportional to 416,544.16, 574,830.12 and 225,556.96 is: 311,268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,544.16 : 574,830.12 = 225,556.96 : x
  2. Step 2: Convert to fraction form
    416,544.16/574,830.12 = 225,556.96/x
  3. Step 3: Cross multiply
    416,544.16x = 574,830.12 × 225,556.96
  4. Step 4: Simplify right side
    416,544.16x = 129,656,934,383.64
  5. Step 5: Solve for x
    x = 129,656,934,383.64/416,544.16
  6. Step 6: Final answer
    x = 311,268.16

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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.