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Finding the Fourth Proportional to 511,022.64, 705,205.52 and 290,258.34

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Solution

The fourth proportional to 511,022.64, 705,205.52 and 290,258.34 is: 400,553.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,022.64 : 705,205.52 = 290,258.34 : x
  2. Step 2: Convert to fraction form
    511,022.64/705,205.52 = 290,258.34/x
  3. Step 3: Cross multiply
    511,022.64x = 705,205.52 × 290,258.34
  4. Step 4: Simplify right side
    511,022.64x = 204,691,783,594.04
  5. Step 5: Solve for x
    x = 204,691,783,594.04/511,022.64
  6. Step 6: Final answer
    x = 400,553.26

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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.