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Finding the Fourth Proportional to 523,150.92, 784,764.42 and 219,240.01

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Solution

The fourth proportional to 523,150.92, 784,764.42 and 219,240.01 is: 328,875.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,150.92 : 784,764.42 = 219,240.01 : x
  2. Step 2: Convert to fraction form
    523,150.92/784,764.42 = 219,240.01/x
  3. Step 3: Cross multiply
    523,150.92x = 784,764.42 × 219,240.01
  4. Step 4: Simplify right side
    523,150.92x = 172,051,759,288.44
  5. Step 5: Solve for x
    x = 172,051,759,288.44/523,150.92
  6. Step 6: Final answer
    x = 328,875.96

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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.