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Finding the Fourth Proportional to 511,496.97, 705,850.36 and 282,054.14

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Solution

The fourth proportional to 511,496.97, 705,850.36 and 282,054.14 is: 389,226.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,496.97 : 705,850.36 = 282,054.14 : x
  2. Step 2: Convert to fraction form
    511,496.97/705,850.36 = 282,054.14/x
  3. Step 3: Cross multiply
    511,496.97x = 705,850.36 × 282,054.14
  4. Step 4: Simplify right side
    511,496.97x = 199,088,016,258.49
  5. Step 5: Solve for x
    x = 199,088,016,258.49/511,496.97
  6. Step 6: Final answer
    x = 389,226.19

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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.