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Finding the Fourth Proportional to 511,843.68, 706,339.36 and 282,402.82

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Solution

The fourth proportional to 511,843.68, 706,339.36 and 282,402.82 is: 389,713.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,843.68 : 706,339.36 = 282,402.82 : x
  2. Step 2: Convert to fraction form
    511,843.68/706,339.36 = 282,402.82/x
  3. Step 3: Cross multiply
    511,843.68x = 706,339.36 × 282,402.82
  4. Step 4: Simplify right side
    511,843.68x = 199,472,227,141.00
  5. Step 5: Solve for x
    x = 199,472,227,141.00/511,843.68
  6. Step 6: Final answer
    x = 389,713.18

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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.