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Finding the Fourth Proportional to 496,043.34, 744,186.54 and 159,084.96

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Solution

The fourth proportional to 496,043.34, 744,186.54 and 159,084.96 is: 238,666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,043.34 : 744,186.54 = 159,084.96 : x
  2. Step 2: Convert to fraction form
    496,043.34/744,186.54 = 159,084.96/x
  3. Step 3: Cross multiply
    496,043.34x = 744,186.54 × 159,084.96
  4. Step 4: Simplify right side
    496,043.34x = 118,388,885,948.44
  5. Step 5: Solve for x
    x = 118,388,885,948.44/496,043.34
  6. Step 6: Final answer
    x = 238,666.42

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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.