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Finding the Fourth Proportional to 511,590.50, 706,044.78 and 382,304.48

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Solution

The fourth proportional to 511,590.50, 706,044.78 and 382,304.48 is: 527,617.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,590.50 : 706,044.78 = 382,304.48 : x
  2. Step 2: Convert to fraction form
    511,590.50/706,044.78 = 382,304.48/x
  3. Step 3: Cross multiply
    511,590.50x = 706,044.78 × 382,304.48
  4. Step 4: Simplify right side
    511,590.50x = 269,924,082,474.61
  5. Step 5: Solve for x
    x = 269,924,082,474.61/511,590.50
  6. Step 6: Final answer
    x = 527,617.46

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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.