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Finding the Fourth Proportional to 469,821.16, 648,353.63 and 254,961.24

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Solution

The fourth proportional to 469,821.16, 648,353.63 and 254,961.24 is: 351,846.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,821.16 : 648,353.63 = 254,961.24 : x
  2. Step 2: Convert to fraction form
    469,821.16/648,353.63 = 254,961.24/x
  3. Step 3: Cross multiply
    469,821.16x = 648,353.63 × 254,961.24
  4. Step 4: Simplify right side
    469,821.16x = 165,305,043,669.38
  5. Step 5: Solve for x
    x = 165,305,043,669.38/469,821.16
  6. Step 6: Final answer
    x = 351,846.74

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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.