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Finding the Fourth Proportional to 456,448.38, 629,686.52 and 295,355.46

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Solution

The fourth proportional to 456,448.38, 629,686.52 and 295,355.46 is: 407,453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,448.38 : 629,686.52 = 295,355.46 : x
  2. Step 2: Convert to fraction form
    456,448.38/629,686.52 = 295,355.46/x
  3. Step 3: Cross multiply
    456,448.38x = 629,686.52 × 295,355.46
  4. Step 4: Simplify right side
    456,448.38x = 185,981,351,770.40
  5. Step 5: Solve for x
    x = 185,981,351,770.40/456,448.38
  6. Step 6: Final answer
    x = 407,453.20

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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.