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Finding the Fourth Proportional to 511,591, 706,045.47 and 382,304.98

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Solution

The fourth proportional to 511,591, 706,045.47 and 382,304.98 is: 527,618.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,591 : 706,045.47 = 382,304.98 : x
  2. Step 2: Convert to fraction form
    511,591/706,045.47 = 382,304.98/x
  3. Step 3: Cross multiply
    511,591x = 706,045.47 × 382,304.98
  4. Step 4: Simplify right side
    511,591x = 269,924,699,287.44
  5. Step 5: Solve for x
    x = 269,924,699,287.44/511,591
  6. Step 6: Final answer
    x = 527,618.15

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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.