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Finding the Fourth Proportional to 284,821.50, 427,325.85 and 116,483.49

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Solution

The fourth proportional to 284,821.50, 427,325.85 and 116,483.49 is: 174,763.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,821.50 : 427,325.85 = 116,483.49 : x
  2. Step 2: Convert to fraction form
    284,821.50/427,325.85 = 116,483.49/x
  3. Step 3: Cross multiply
    284,821.50x = 427,325.85 × 116,483.49
  4. Step 4: Simplify right side
    284,821.50x = 49,776,406,375.22
  5. Step 5: Solve for x
    x = 49,776,406,375.22/284,821.50
  6. Step 6: Final answer
    x = 174,763.51

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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.