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Finding the Fourth Proportional to 463,993.02, 640,355.31 and 260,078.58

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Solution

The fourth proportional to 463,993.02, 640,355.31 and 260,078.58 is: 358,933.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,993.02 : 640,355.31 = 260,078.58 : x
  2. Step 2: Convert to fraction form
    463,993.02/640,355.31 = 260,078.58/x
  3. Step 3: Cross multiply
    463,993.02x = 640,355.31 × 260,078.58
  4. Step 4: Simplify right side
    463,993.02x = 166,542,699,720.26
  5. Step 5: Solve for x
    x = 166,542,699,720.26/463,993.02
  6. Step 6: Final answer
    x = 358,933.63

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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.