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Finding the Fourth Proportional to 511,493.12, 705,902.52 and 282,095.27

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Solution

The fourth proportional to 511,493.12, 705,902.52 and 282,095.27 is: 389,314.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,493.12 : 705,902.52 = 282,095.27 : x
  2. Step 2: Convert to fraction form
    511,493.12/705,902.52 = 282,095.27/x
  3. Step 3: Cross multiply
    511,493.12x = 705,902.52 × 282,095.27
  4. Step 4: Simplify right side
    511,493.12x = 199,131,761,973.08
  5. Step 5: Solve for x
    x = 199,131,761,973.08/511,493.12
  6. Step 6: Final answer
    x = 389,314.65

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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.