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Finding the Fourth Proportional to 579,870.30, 800,247.94 and 362,207.84

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Solution

The fourth proportional to 579,870.30, 800,247.94 and 362,207.84 is: 499,863.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,870.30 : 800,247.94 = 362,207.84 : x
  2. Step 2: Convert to fraction form
    579,870.30/800,247.94 = 362,207.84/x
  3. Step 3: Cross multiply
    579,870.30x = 800,247.94 × 362,207.84
  4. Step 4: Simplify right side
    579,870.30x = 289,856,077,811.85
  5. Step 5: Solve for x
    x = 289,856,077,811.85/579,870.30
  6. Step 6: Final answer
    x = 499,863.64

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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.