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Finding the Fourth Proportional to 456,391.04, 629,610.09 and 295,298.60

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Solution

The fourth proportional to 456,391.04, 629,610.09 and 295,298.60 is: 407,376.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,391.04 : 629,610.09 = 295,298.60 : x
  2. Step 2: Convert to fraction form
    456,391.04/629,610.09 = 295,298.60/x
  3. Step 3: Cross multiply
    456,391.04x = 629,610.09 × 295,298.60
  4. Step 4: Simplify right side
    456,391.04x = 185,922,977,287.10
  5. Step 5: Solve for x
    x = 185,922,977,287.10/456,391.04
  6. Step 6: Final answer
    x = 407,376.49

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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.