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Finding the Fourth Proportional to 449,492.83, 620,318.97 and 258,506.37

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Solution

The fourth proportional to 449,492.83, 620,318.97 and 258,506.37 is: 356,749.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,492.83 : 620,318.97 = 258,506.37 : x
  2. Step 2: Convert to fraction form
    449,492.83/620,318.97 = 258,506.37/x
  3. Step 3: Cross multiply
    449,492.83x = 620,318.97 × 258,506.37
  4. Step 4: Simplify right side
    449,492.83x = 160,356,405,176.84
  5. Step 5: Solve for x
    x = 160,356,405,176.84/449,492.83
  6. Step 6: Final answer
    x = 356,749.64

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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.