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Finding the Fourth Proportional to 519,176.51, 778,847.12 and 219,659.34

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Solution

The fourth proportional to 519,176.51, 778,847.12 and 219,659.34 is: 329,523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,176.51 : 778,847.12 = 219,659.34 : x
  2. Step 2: Convert to fraction form
    519,176.51/778,847.12 = 219,659.34/x
  3. Step 3: Cross multiply
    519,176.51x = 778,847.12 × 219,659.34
  4. Step 4: Simplify right side
    519,176.51x = 171,081,047,604.00
  5. Step 5: Solve for x
    x = 171,081,047,604.00/519,176.51
  6. Step 6: Final answer
    x = 329,523.86

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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.