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Finding the Fourth Proportional to 381,066.53, 525,882.38 and 208,992.45

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Solution

The fourth proportional to 381,066.53, 525,882.38 and 208,992.45 is: 288,415.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,066.53 : 525,882.38 = 208,992.45 : x
  2. Step 2: Convert to fraction form
    381,066.53/525,882.38 = 208,992.45/x
  3. Step 3: Cross multiply
    381,066.53x = 525,882.38 × 208,992.45
  4. Step 4: Simplify right side
    381,066.53x = 109,905,447,935.12
  5. Step 5: Solve for x
    x = 109,905,447,935.12/381,066.53
  6. Step 6: Final answer
    x = 288,415.38

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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.