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Finding the Fourth Proportional to 466,537.76, 699,917.74 and 150,994.68

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Solution

The fourth proportional to 466,537.76, 699,917.74 and 150,994.68 is: 226,527.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,537.76 : 699,917.74 = 150,994.68 : x
  2. Step 2: Convert to fraction form
    466,537.76/699,917.74 = 150,994.68/x
  3. Step 3: Cross multiply
    466,537.76x = 699,917.74 × 150,994.68
  4. Step 4: Simplify right side
    466,537.76x = 105,683,855,177.62
  5. Step 5: Solve for x
    x = 105,683,855,177.62/466,537.76
  6. Step 6: Final answer
    x = 226,527.98

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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.