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Finding the Fourth Proportional to 496,017, 742,763.40 and 327,024.62

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Solution

The fourth proportional to 496,017, 742,763.40 and 327,024.62 is: 489,704.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,017 : 742,763.40 = 327,024.62 : x
  2. Step 2: Convert to fraction form
    496,017/742,763.40 = 327,024.62/x
  3. Step 3: Cross multiply
    496,017x = 742,763.40 × 327,024.62
  4. Step 4: Simplify right side
    496,017x = 242,901,918,634.91
  5. Step 5: Solve for x
    x = 242,901,918,634.91/496,017
  6. Step 6: Final answer
    x = 489,704.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.