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Finding the Fourth Proportional to 369,176.82, 509,464.04 and 199,410.95

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Solution

The fourth proportional to 369,176.82, 509,464.04 and 199,410.95 is: 275,187.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,176.82 : 509,464.04 = 199,410.95 : x
  2. Step 2: Convert to fraction form
    369,176.82/509,464.04 = 199,410.95/x
  3. Step 3: Cross multiply
    369,176.82x = 509,464.04 × 199,410.95
  4. Step 4: Simplify right side
    369,176.82x = 101,592,704,662.86
  5. Step 5: Solve for x
    x = 101,592,704,662.86/369,176.82
  6. Step 6: Final answer
    x = 275,187.12

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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.