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Finding the Fourth Proportional to 416,235.12, 574,404.93 and 225,248.54

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Solution

The fourth proportional to 416,235.12, 574,404.93 and 225,248.54 is: 310,843.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,235.12 : 574,404.93 = 225,248.54 : x
  2. Step 2: Convert to fraction form
    416,235.12/574,404.93 = 225,248.54/x
  3. Step 3: Cross multiply
    416,235.12x = 574,404.93 × 225,248.54
  4. Step 4: Simplify right side
    416,235.12x = 129,383,868,979.28
  5. Step 5: Solve for x
    x = 129,383,868,979.28/416,235.12
  6. Step 6: Final answer
    x = 310,843.23

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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.