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Finding the Fourth Proportional to 469,906.87, 648,472.20 and 255,047.02

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Solution

The fourth proportional to 469,906.87, 648,472.20 and 255,047.02 is: 351,965.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,906.87 : 648,472.20 = 255,047.02 : x
  2. Step 2: Convert to fraction form
    469,906.87/648,472.20 = 255,047.02/x
  3. Step 3: Cross multiply
    469,906.87x = 648,472.20 × 255,047.02
  4. Step 4: Simplify right side
    469,906.87x = 165,390,902,162.84
  5. Step 5: Solve for x
    x = 165,390,902,162.84/469,906.87
  6. Step 6: Final answer
    x = 351,965.28

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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.