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Finding the Fourth Proportional to 466,533.78, 699,911.72 and 150,990.68

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Solution

The fourth proportional to 466,533.78, 699,911.72 and 150,990.68 is: 226,521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,533.78 : 699,911.72 = 150,990.68 : x
  2. Step 2: Convert to fraction form
    466,533.78/699,911.72 = 150,990.68/x
  3. Step 3: Cross multiply
    466,533.78x = 699,911.72 × 150,990.68
  4. Step 4: Simplify right side
    466,533.78x = 105,680,146,542.77
  5. Step 5: Solve for x
    x = 105,680,146,542.77/466,533.78
  6. Step 6: Final answer
    x = 226,521.96

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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.