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Finding the Fourth Proportional to 416,144.22, 623,953.89 and 229,286.94

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Solution

The fourth proportional to 416,144.22, 623,953.89 and 229,286.94 is: 343,785.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,144.22 : 623,953.89 = 229,286.94 : x
  2. Step 2: Convert to fraction form
    416,144.22/623,953.89 = 229,286.94/x
  3. Step 3: Cross multiply
    416,144.22x = 623,953.89 × 229,286.94
  4. Step 4: Simplify right side
    416,144.22x = 143,064,478,139.20
  5. Step 5: Solve for x
    x = 143,064,478,139.20/416,144.22
  6. Step 6: Final answer
    x = 343,785.81

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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.