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Finding the Fourth Proportional to 446,722.85, 616,492.34 and 262,928.12

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Solution

The fourth proportional to 446,722.85, 616,492.34 and 262,928.12 is: 362,849.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,722.85 : 616,492.34 = 262,928.12 : x
  2. Step 2: Convert to fraction form
    446,722.85/616,492.34 = 262,928.12/x
  3. Step 3: Cross multiply
    446,722.85x = 616,492.34 × 262,928.12
  4. Step 4: Simplify right side
    446,722.85x = 162,093,167,553.50
  5. Step 5: Solve for x
    x = 162,093,167,553.50/446,722.85
  6. Step 6: Final answer
    x = 362,849.51

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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.