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Finding the Fourth Proportional to 468,588.21, 646,650.79 and 253,728.91

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Solution

The fourth proportional to 468,588.21, 646,650.79 and 253,728.91 is: 350,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,588.21 : 646,650.79 = 253,728.91 : x
  2. Step 2: Convert to fraction form
    468,588.21/646,650.79 = 253,728.91/x
  3. Step 3: Cross multiply
    468,588.21x = 646,650.79 × 253,728.91
  4. Step 4: Simplify right side
    468,588.21x = 164,073,998,061.15
  5. Step 5: Solve for x
    x = 164,073,998,061.15/468,588.21
  6. Step 6: Final answer
    x = 350,145.38

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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.