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Finding the Fourth Proportional to 527,021.97, 727,290.55 and 285,304.54

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Solution

The fourth proportional to 527,021.97, 727,290.55 and 285,304.54 is: 393,720.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,021.97 : 727,290.55 = 285,304.54 : x
  2. Step 2: Convert to fraction form
    527,021.97/727,290.55 = 285,304.54/x
  3. Step 3: Cross multiply
    527,021.97x = 727,290.55 × 285,304.54
  4. Step 4: Simplify right side
    527,021.97x = 207,499,293,282.61
  5. Step 5: Solve for x
    x = 207,499,293,282.61/527,021.97
  6. Step 6: Final answer
    x = 393,720.39

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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.