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Finding the Fourth Proportional to 349,159.44, 523,968.86 and 191,498.64

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Solution

The fourth proportional to 349,159.44, 523,968.86 and 191,498.64 is: 287,373.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,159.44 : 523,968.86 = 191,498.64 : x
  2. Step 2: Convert to fraction form
    349,159.44/523,968.86 = 191,498.64/x
  3. Step 3: Cross multiply
    349,159.44x = 523,968.86 × 191,498.64
  4. Step 4: Simplify right side
    349,159.44x = 100,339,324,092.35
  5. Step 5: Solve for x
    x = 100,339,324,092.35/349,159.44
  6. Step 6: Final answer
    x = 287,373.94

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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.