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Finding the Fourth Proportional to 364,552.26, 503,070.30 and 198,973.86

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Solution

The fourth proportional to 364,552.26, 503,070.30 and 198,973.86 is: 274,577.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,552.26 : 503,070.30 = 198,973.86 : x
  2. Step 2: Convert to fraction form
    364,552.26/503,070.30 = 198,973.86/x
  3. Step 3: Cross multiply
    364,552.26x = 503,070.30 × 198,973.86
  4. Step 4: Simplify right side
    364,552.26x = 100,097,839,442.36
  5. Step 5: Solve for x
    x = 100,097,839,442.36/364,552.26
  6. Step 6: Final answer
    x = 274,577.48

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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.