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Finding the Fourth Proportional to 369,221.64, 509,525.22 and 199,455.24

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Solution

The fourth proportional to 369,221.64, 509,525.22 and 199,455.24 is: 275,247.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,221.64 : 509,525.22 = 199,455.24 : x
  2. Step 2: Convert to fraction form
    369,221.64/509,525.22 = 199,455.24/x
  3. Step 3: Cross multiply
    369,221.64x = 509,525.22 × 199,455.24
  4. Step 4: Simplify right side
    369,221.64x = 101,627,475,041.15
  5. Step 5: Solve for x
    x = 101,627,475,041.15/369,221.64
  6. Step 6: Final answer
    x = 275,247.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.