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Finding the Fourth Proportional to 463,208.64, 638,720.28 and 301,764.30

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Solution

The fourth proportional to 463,208.64, 638,720.28 and 301,764.30 is: 416,104.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,208.64 : 638,720.28 = 301,764.30 : x
  2. Step 2: Convert to fraction form
    463,208.64/638,720.28 = 301,764.30/x
  3. Step 3: Cross multiply
    463,208.64x = 638,720.28 × 301,764.30
  4. Step 4: Simplify right side
    463,208.64x = 192,742,978,190.00
  5. Step 5: Solve for x
    x = 192,742,978,190.00/463,208.64
  6. Step 6: Final answer
    x = 416,104.02

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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.