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Finding the Fourth Proportional to 455,219.40, 682,829.10 and 139,675.80

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Solution

The fourth proportional to 455,219.40, 682,829.10 and 139,675.80 is: 209,513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,219.40 : 682,829.10 = 139,675.80 : x
  2. Step 2: Convert to fraction form
    455,219.40/682,829.10 = 139,675.80/x
  3. Step 3: Cross multiply
    455,219.40x = 682,829.10 × 139,675.80
  4. Step 4: Simplify right side
    455,219.40x = 95,374,700,805.78
  5. Step 5: Solve for x
    x = 95,374,700,805.78/455,219.40
  6. Step 6: Final answer
    x = 209,513.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.