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Finding the Fourth Proportional to 369,186.24, 509,477.12 and 199,420.48

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Solution

The fourth proportional to 369,186.24, 509,477.12 and 199,420.48 is: 275,200.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,186.24 : 509,477.12 = 199,420.48 : x
  2. Step 2: Convert to fraction form
    369,186.24/509,477.12 = 199,420.48/x
  3. Step 3: Cross multiply
    369,186.24x = 509,477.12 × 199,420.48
  4. Step 4: Simplify right side
    369,186.24x = 101,600,171,819.42
  5. Step 5: Solve for x
    x = 101,600,171,819.42/369,186.24
  6. Step 6: Final answer
    x = 275,200.32

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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.