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Finding the Fourth Proportional to 725,189.72, 1,000,703.14 and 419,285.73

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Solution

The fourth proportional to 725,189.72, 1,000,703.14 and 419,285.73 is: 578,580.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,189.72 : 1,000,703.14 = 419,285.73 : x
  2. Step 2: Convert to fraction form
    725,189.72/1,000,703.14 = 419,285.73/x
  3. Step 3: Cross multiply
    725,189.72x = 1,000,703.14 × 419,285.73
  4. Step 4: Simplify right side
    725,189.72x = 419,580,545,519.98
  5. Step 5: Solve for x
    x = 419,580,545,519.98/725,189.72
  6. Step 6: Final answer
    x = 578,580.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.