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Finding the Fourth Proportional to 511,458.28, 706,114.82 and 454,712.60

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Solution

The fourth proportional to 511,458.28, 706,114.82 and 454,712.60 is: 627,772.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,458.28 : 706,114.82 = 454,712.60 : x
  2. Step 2: Convert to fraction form
    511,458.28/706,114.82 = 454,712.60/x
  3. Step 3: Cross multiply
    511,458.28x = 706,114.82 × 454,712.60
  4. Step 4: Simplify right side
    511,458.28x = 321,079,305,700.73
  5. Step 5: Solve for x
    x = 321,079,305,700.73/511,458.28
  6. Step 6: Final answer
    x = 627,772.23

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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.