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Finding the Fourth Proportional to 469,816.23, 648,346.81 and 254,956.29

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Solution

The fourth proportional to 469,816.23, 648,346.81 and 254,956.29 is: 351,839.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,816.23 : 648,346.81 = 254,956.29 : x
  2. Step 2: Convert to fraction form
    469,816.23/648,346.81 = 254,956.29/x
  3. Step 3: Cross multiply
    469,816.23x = 648,346.81 × 254,956.29
  4. Step 4: Simplify right side
    469,816.23x = 165,300,097,310.94
  5. Step 5: Solve for x
    x = 165,300,097,310.94/469,816.23
  6. Step 6: Final answer
    x = 351,839.90

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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.