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Finding the Fourth Proportional to 519,579.42, 714,267.30 and 446,713.98

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Solution

The fourth proportional to 519,579.42, 714,267.30 and 446,713.98 is: 614,098.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,579.42 : 714,267.30 = 446,713.98 : x
  2. Step 2: Convert to fraction form
    519,579.42/714,267.30 = 446,713.98/x
  3. Step 3: Cross multiply
    519,579.42x = 714,267.30 × 446,713.98
  4. Step 4: Simplify right side
    519,579.42x = 319,073,188,366.85
  5. Step 5: Solve for x
    x = 319,073,188,366.85/519,579.42
  6. Step 6: Final answer
    x = 614,098.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.