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Finding the Fourth Proportional to 511,912.92, 706,435.11 and 282,472.32

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Solution

The fourth proportional to 511,912.92, 706,435.11 and 282,472.32 is: 389,809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,912.92 : 706,435.11 = 282,472.32 : x
  2. Step 2: Convert to fraction form
    511,912.92/706,435.11 = 282,472.32/x
  3. Step 3: Cross multiply
    511,912.92x = 706,435.11 × 282,472.32
  4. Step 4: Simplify right side
    511,912.92x = 199,548,364,451.16
  5. Step 5: Solve for x
    x = 199,548,364,451.16/511,912.92
  6. Step 6: Final answer
    x = 389,809.20

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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.