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Finding the Fourth Proportional to 349,493.76, 482,304.96 and 198,564.48

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Solution

The fourth proportional to 349,493.76, 482,304.96 and 198,564.48 is: 274,021.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,493.76 : 482,304.96 = 198,564.48 : x
  2. Step 2: Convert to fraction form
    349,493.76/482,304.96 = 198,564.48/x
  3. Step 3: Cross multiply
    349,493.76x = 482,304.96 × 198,564.48
  4. Step 4: Simplify right side
    349,493.76x = 95,768,633,583.82
  5. Step 5: Solve for x
    x = 95,768,633,583.82/349,493.76
  6. Step 6: Final answer
    x = 274,021.01

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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.