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Finding the Fourth Proportional to 456,404.44, 629,842.08 and 255,200.44

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Solution

The fourth proportional to 456,404.44, 629,842.08 and 255,200.44 is: 352,178.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,404.44 : 629,842.08 = 255,200.44 : x
  2. Step 2: Convert to fraction form
    456,404.44/629,842.08 = 255,200.44/x
  3. Step 3: Cross multiply
    456,404.44x = 629,842.08 × 255,200.44
  4. Step 4: Simplify right side
    456,404.44x = 160,735,975,946.52
  5. Step 5: Solve for x
    x = 160,735,975,946.52/456,404.44
  6. Step 6: Final answer
    x = 352,178.82

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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.