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Finding the Fourth Proportional to 384,202.49, 576,709.54 and 215,866.67

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Solution

The fourth proportional to 384,202.49, 576,709.54 and 215,866.67 is: 324,028.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,202.49 : 576,709.54 = 215,866.67 : x
  2. Step 2: Convert to fraction form
    384,202.49/576,709.54 = 215,866.67/x
  3. Step 3: Cross multiply
    384,202.49x = 576,709.54 × 215,866.67
  4. Step 4: Simplify right side
    384,202.49x = 124,492,365,073.48
  5. Step 5: Solve for x
    x = 124,492,365,073.48/384,202.49
  6. Step 6: Final answer
    x = 324,028.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.