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Finding the Fourth Proportional to 456,448.01, 629,685.99 and 295,355.06

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Solution

The fourth proportional to 456,448.01, 629,685.99 and 295,355.06 is: 407,452.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,448.01 : 629,685.99 = 295,355.06 : x
  2. Step 2: Convert to fraction form
    456,448.01/629,685.99 = 295,355.06/x
  3. Step 3: Cross multiply
    456,448.01x = 629,685.99 × 295,355.06
  4. Step 4: Simplify right side
    456,448.01x = 185,980,943,357.61
  5. Step 5: Solve for x
    x = 185,980,943,357.61/456,448.01
  6. Step 6: Final answer
    x = 407,452.63

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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.