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Finding the Fourth Proportional to 320,204.88, 480,296.39 and 151,805.88

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Solution

The fourth proportional to 320,204.88, 480,296.39 and 151,805.88 is: 227,703.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,204.88 : 480,296.39 = 151,805.88 : x
  2. Step 2: Convert to fraction form
    320,204.88/480,296.39 = 151,805.88/x
  3. Step 3: Cross multiply
    320,204.88x = 480,296.39 × 151,805.88
  4. Step 4: Simplify right side
    320,204.88x = 72,911,815,385.74
  5. Step 5: Solve for x
    x = 72,911,815,385.74/320,204.88
  6. Step 6: Final answer
    x = 227,703.64

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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.