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Finding the Fourth Proportional to 456,533.82, 684,946.53 and 219,900.42

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Solution

The fourth proportional to 456,533.82, 684,946.53 and 219,900.42 is: 329,920.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,533.82 : 684,946.53 = 219,900.42 : x
  2. Step 2: Convert to fraction form
    456,533.82/684,946.53 = 219,900.42/x
  3. Step 3: Cross multiply
    456,533.82x = 684,946.53 × 219,900.42
  4. Step 4: Simplify right side
    456,533.82x = 150,620,029,624.54
  5. Step 5: Solve for x
    x = 150,620,029,624.54/456,533.82
  6. Step 6: Final answer
    x = 329,920.86

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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.