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Finding the Fourth Proportional to 511,588.50, 706,042.02 and 382,302.48

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Solution

The fourth proportional to 511,588.50, 706,042.02 and 382,302.48 is: 527,614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,588.50 : 706,042.02 = 382,302.48 : x
  2. Step 2: Convert to fraction form
    511,588.50/706,042.02 = 382,302.48/x
  3. Step 3: Cross multiply
    511,588.50x = 706,042.02 × 382,302.48
  4. Step 4: Simplify right side
    511,588.50x = 269,921,609,788.49
  5. Step 5: Solve for x
    x = 269,921,609,788.49/511,588.50
  6. Step 6: Final answer
    x = 527,614.69

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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.