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Finding the Fourth Proportional to 462,009.60, 693,727.20 and 252,057.60

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Solution

The fourth proportional to 462,009.60, 693,727.20 and 252,057.60 is: 378,475.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,009.60 : 693,727.20 = 252,057.60 : x
  2. Step 2: Convert to fraction form
    462,009.60/693,727.20 = 252,057.60/x
  3. Step 3: Cross multiply
    462,009.60x = 693,727.20 × 252,057.60
  4. Step 4: Simplify right side
    462,009.60x = 174,859,213,086.72
  5. Step 5: Solve for x
    x = 174,859,213,086.72/462,009.60
  6. Step 6: Final answer
    x = 378,475.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.