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Finding the Fourth Proportional to 411,527.84, 617,350.89 and 127,240.56

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Solution

The fourth proportional to 411,527.84, 617,350.89 and 127,240.56 is: 190,879.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,527.84 : 617,350.89 = 127,240.56 : x
  2. Step 2: Convert to fraction form
    411,527.84/617,350.89 = 127,240.56/x
  3. Step 3: Cross multiply
    411,527.84x = 617,350.89 × 127,240.56
  4. Step 4: Simplify right side
    411,527.84x = 78,552,072,960.10
  5. Step 5: Solve for x
    x = 78,552,072,960.10/411,527.84
  6. Step 6: Final answer
    x = 190,879.12

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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.