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Finding the Fourth Proportional to 511,983.72, 706,532.58 and 282,543.12

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Solution

The fourth proportional to 511,983.72, 706,532.58 and 282,543.12 is: 389,906.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,983.72 : 706,532.58 = 282,543.12 : x
  2. Step 2: Convert to fraction form
    511,983.72/706,532.58 = 282,543.12/x
  3. Step 3: Cross multiply
    511,983.72x = 706,532.58 × 282,543.12
  4. Step 4: Simplify right side
    511,983.72x = 199,625,919,534.85
  5. Step 5: Solve for x
    x = 199,625,919,534.85/511,983.72
  6. Step 6: Final answer
    x = 389,906.77

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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.