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Finding the Fourth Proportional to 583,311.63, 804,970.17 and 315,039.63

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Solution

The fourth proportional to 583,311.63, 804,970.17 and 315,039.63 is: 434,754.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,311.63 : 804,970.17 = 315,039.63 : x
  2. Step 2: Convert to fraction form
    583,311.63/804,970.17 = 315,039.63/x
  3. Step 3: Cross multiply
    583,311.63x = 804,970.17 × 315,039.63
  4. Step 4: Simplify right side
    583,311.63x = 253,597,504,517.84
  5. Step 5: Solve for x
    x = 253,597,504,517.84/583,311.63
  6. Step 6: Final answer
    x = 434,754.75

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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.