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Finding the Fourth Proportional to 527,537.73, 727,996.35 and 285,805.89

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Solution

The fourth proportional to 527,537.73, 727,996.35 and 285,805.89 is: 394,409.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,537.73 : 727,996.35 = 285,805.89 : x
  2. Step 2: Convert to fraction form
    527,537.73/727,996.35 = 285,805.89/x
  3. Step 3: Cross multiply
    527,537.73x = 727,996.35 × 285,805.89
  4. Step 4: Simplify right side
    527,537.73x = 208,065,644,728.50
  5. Step 5: Solve for x
    x = 208,065,644,728.50/527,537.73
  6. Step 6: Final answer
    x = 394,409.03

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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.