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Finding the Fourth Proportional to 384,220.99, 576,280.43 and 114,344.29

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Solution

The fourth proportional to 384,220.99, 576,280.43 and 114,344.29 is: 171,501.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,220.99 : 576,280.43 = 114,344.29 : x
  2. Step 2: Convert to fraction form
    384,220.99/576,280.43 = 114,344.29/x
  3. Step 3: Cross multiply
    384,220.99x = 576,280.43 × 114,344.29
  4. Step 4: Simplify right side
    384,220.99x = 65,894,373,727.84
  5. Step 5: Solve for x
    x = 65,894,373,727.84/384,220.99
  6. Step 6: Final answer
    x = 171,501.24

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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.