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Finding the Fourth Proportional to 344,004.80, 516,007.20 and 320,385.20

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Solution

The fourth proportional to 344,004.80, 516,007.20 and 320,385.20 is: 480,577.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,004.80 : 516,007.20 = 320,385.20 : x
  2. Step 2: Convert to fraction form
    344,004.80/516,007.20 = 320,385.20/x
  3. Step 3: Cross multiply
    344,004.80x = 516,007.20 × 320,385.20
  4. Step 4: Simplify right side
    344,004.80x = 165,321,069,973.44
  5. Step 5: Solve for x
    x = 165,321,069,973.44/344,004.80
  6. Step 6: Final answer
    x = 480,577.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.