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Finding the Fourth Proportional to 302,132.70, 416,910.44 and 174,784.50

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Solution

The fourth proportional to 302,132.70, 416,910.44 and 174,784.50 is: 241,183.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,132.70 : 416,910.44 = 174,784.50 : x
  2. Step 2: Convert to fraction form
    302,132.70/416,910.44 = 174,784.50/x
  3. Step 3: Cross multiply
    302,132.70x = 416,910.44 × 174,784.50
  4. Step 4: Simplify right side
    302,132.70x = 72,869,483,237.14
  5. Step 5: Solve for x
    x = 72,869,483,237.14/302,132.70
  6. Step 6: Final answer
    x = 241,183.70

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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.