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Finding the Fourth Proportional to 229,580.53, 343,363.59 and 204,457.21

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Solution

The fourth proportional to 229,580.53, 343,363.59 and 204,457.21 is: 305,788.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,580.53 : 343,363.59 = 204,457.21 : x
  2. Step 2: Convert to fraction form
    229,580.53/343,363.59 = 204,457.21/x
  3. Step 3: Cross multiply
    229,580.53x = 343,363.59 × 204,457.21
  4. Step 4: Simplify right side
    229,580.53x = 70,203,160,001.86
  5. Step 5: Solve for x
    x = 70,203,160,001.86/229,580.53
  6. Step 6: Final answer
    x = 305,788.83

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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.