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Finding the Fourth Proportional to 411,838.28, 617,612.64 and 123,563.96

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Solution

The fourth proportional to 411,838.28, 617,612.64 and 123,563.96 is: 185,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,838.28 : 617,612.64 = 123,563.96 : x
  2. Step 2: Convert to fraction form
    411,838.28/617,612.64 = 123,563.96/x
  3. Step 3: Cross multiply
    411,838.28x = 617,612.64 × 123,563.96
  4. Step 4: Simplify right side
    411,838.28x = 76,314,663,544.45
  5. Step 5: Solve for x
    x = 76,314,663,544.45/411,838.28
  6. Step 6: Final answer
    x = 185,302.50

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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.