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Finding the Fourth Proportional to 522,798.72, 784,181.84 and 148,821.72

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Solution

The fourth proportional to 522,798.72, 784,181.84 and 148,821.72 is: 223,227.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,798.72 : 784,181.84 = 148,821.72 : x
  2. Step 2: Convert to fraction form
    522,798.72/784,181.84 = 148,821.72/x
  3. Step 3: Cross multiply
    522,798.72x = 784,181.84 × 148,821.72
  4. Step 4: Simplify right side
    522,798.72x = 116,703,290,221.57
  5. Step 5: Solve for x
    x = 116,703,290,221.57/522,798.72
  6. Step 6: Final answer
    x = 223,227.96

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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.