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Finding the Fourth Proportional to 522,833.04, 784,249.44 and 148,856

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Solution

The fourth proportional to 522,833.04, 784,249.44 and 148,856 is: 223,283.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,833.04 : 784,249.44 = 148,856 : x
  2. Step 2: Convert to fraction form
    522,833.04/784,249.44 = 148,856/x
  3. Step 3: Cross multiply
    522,833.04x = 784,249.44 × 148,856
  4. Step 4: Simplify right side
    522,833.04x = 116,740,234,640.64
  5. Step 5: Solve for x
    x = 116,740,234,640.64/522,833.04
  6. Step 6: Final answer
    x = 223,283.97

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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.