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Finding the Fourth Proportional to 583,114.32, 804,722.72 and 324,991.22

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Solution

The fourth proportional to 583,114.32, 804,722.72 and 324,991.22 is: 448,501.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,114.32 : 804,722.72 = 324,991.22 : x
  2. Step 2: Convert to fraction form
    583,114.32/804,722.72 = 324,991.22/x
  3. Step 3: Cross multiply
    583,114.32x = 804,722.72 × 324,991.22
  4. Step 4: Simplify right side
    583,114.32x = 261,527,812,885.95
  5. Step 5: Solve for x
    x = 261,527,812,885.95/583,114.32
  6. Step 6: Final answer
    x = 448,501.78

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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.