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Finding the Fourth Proportional to 497,770.76, 746,693.58 and 142,781.96

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Solution

The fourth proportional to 497,770.76, 746,693.58 and 142,781.96 is: 214,183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,770.76 : 746,693.58 = 142,781.96 : x
  2. Step 2: Convert to fraction form
    497,770.76/746,693.58 = 142,781.96/x
  3. Step 3: Cross multiply
    497,770.76x = 746,693.58 × 142,781.96
  4. Step 4: Simplify right side
    497,770.76x = 106,614,372,871.82
  5. Step 5: Solve for x
    x = 106,614,372,871.82/497,770.76
  6. Step 6: Final answer
    x = 214,183.68

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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.