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Finding the Fourth Proportional to 534,873.44, 738,206.63 and 341,364.64

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Solution

The fourth proportional to 534,873.44, 738,206.63 and 341,364.64 is: 471,135.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,873.44 : 738,206.63 = 341,364.64 : x
  2. Step 2: Convert to fraction form
    534,873.44/738,206.63 = 341,364.64/x
  3. Step 3: Cross multiply
    534,873.44x = 738,206.63 × 341,364.64
  4. Step 4: Simplify right side
    534,873.44x = 251,997,640,495.56
  5. Step 5: Solve for x
    x = 251,997,640,495.56/534,873.44
  6. Step 6: Final answer
    x = 471,135.08

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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.