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Finding the Fourth Proportional to 456,443.75, 629,680.14 and 295,350.81

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Solution

The fourth proportional to 456,443.75, 629,680.14 and 295,350.81 is: 407,446.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,443.75 : 629,680.14 = 295,350.81 : x
  2. Step 2: Convert to fraction form
    456,443.75/629,680.14 = 295,350.81/x
  3. Step 3: Cross multiply
    456,443.75x = 629,680.14 × 295,350.81
  4. Step 4: Simplify right side
    456,443.75x = 185,976,539,389.91
  5. Step 5: Solve for x
    x = 185,976,539,389.91/456,443.75
  6. Step 6: Final answer
    x = 407,446.79

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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.