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Finding the Fourth Proportional to 361,768, 499,239.84 and 202,792

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Solution

The fourth proportional to 361,768, 499,239.84 and 202,792 is: 279,852.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,768 : 499,239.84 = 202,792 : x
  2. Step 2: Convert to fraction form
    361,768/499,239.84 = 202,792/x
  3. Step 3: Cross multiply
    361,768x = 499,239.84 × 202,792
  4. Step 4: Simplify right side
    361,768x = 101,241,845,633.28
  5. Step 5: Solve for x
    x = 101,241,845,633.28/361,768
  6. Step 6: Final answer
    x = 279,852.96

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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.