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Finding the Fourth Proportional to 348,238.56, 480,564.72 and 205,004.64

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Solution

The fourth proportional to 348,238.56, 480,564.72 and 205,004.64 is: 282,903.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,238.56 : 480,564.72 = 205,004.64 : x
  2. Step 2: Convert to fraction form
    348,238.56/480,564.72 = 205,004.64/x
  3. Step 3: Cross multiply
    348,238.56x = 480,564.72 × 205,004.64
  4. Step 4: Simplify right side
    348,238.56x = 98,517,997,420.30
  5. Step 5: Solve for x
    x = 98,517,997,420.30/348,238.56
  6. Step 6: Final answer
    x = 282,903.76

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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.