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Finding the Fourth Proportional to 511,843, 706,341.35 and 282,414.57

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Solution

The fourth proportional to 511,843, 706,341.35 and 282,414.57 is: 389,731.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,843 : 706,341.35 = 282,414.57 : x
  2. Step 2: Convert to fraction form
    511,843/706,341.35 = 282,414.57/x
  3. Step 3: Cross multiply
    511,843x = 706,341.35 × 282,414.57
  4. Step 4: Simplify right side
    511,843x = 199,481,085,101.76
  5. Step 5: Solve for x
    x = 199,481,085,101.76/511,843
  6. Step 6: Final answer
    x = 389,731.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.