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Finding the Fourth Proportional to 412,638.66, 569,542.64 and 251,582.51

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Solution

The fourth proportional to 412,638.66, 569,542.64 and 251,582.51 is: 347,245.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,638.66 : 569,542.64 = 251,582.51 : x
  2. Step 2: Convert to fraction form
    412,638.66/569,542.64 = 251,582.51/x
  3. Step 3: Cross multiply
    412,638.66x = 569,542.64 × 251,582.51
  4. Step 4: Simplify right side
    412,638.66x = 143,286,962,817.60
  5. Step 5: Solve for x
    x = 143,286,962,817.60/412,638.66
  6. Step 6: Final answer
    x = 347,245.61

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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.