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Finding the Fourth Proportional to 456,431.83, 629,663.83 and 295,338.84

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Solution

The fourth proportional to 456,431.83, 629,663.83 and 295,338.84 is: 407,430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,431.83 : 629,663.83 = 295,338.84 : x
  2. Step 2: Convert to fraction form
    456,431.83/629,663.83 = 295,338.84/x
  3. Step 3: Cross multiply
    456,431.83x = 629,663.83 × 295,338.84
  4. Step 4: Simplify right side
    456,431.83x = 185,964,185,142.16
  5. Step 5: Solve for x
    x = 185,964,185,142.16/456,431.83
  6. Step 6: Final answer
    x = 407,430.36

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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.