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Finding the Fourth Proportional to 511,510.01, 705,867.64 and 282,076.97

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Solution

The fourth proportional to 511,510.01, 705,867.64 and 282,076.97 is: 389,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,510.01 : 705,867.64 = 282,076.97 : x
  2. Step 2: Convert to fraction form
    511,510.01/705,867.64 = 282,076.97/x
  3. Step 3: Cross multiply
    511,510.01x = 705,867.64 × 282,076.97
  4. Step 4: Simplify right side
    511,510.01x = 199,109,006,171.73
  5. Step 5: Solve for x
    x = 199,109,006,171.73/511,510.01
  6. Step 6: Final answer
    x = 389,257.30

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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.