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Finding the Fourth Proportional to 411,530.84, 617,355.40 and 127,243.56

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Solution

The fourth proportional to 411,530.84, 617,355.40 and 127,243.56 is: 190,883.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,530.84 : 617,355.40 = 127,243.56 : x
  2. Step 2: Convert to fraction form
    411,530.84/617,355.40 = 127,243.56/x
  3. Step 3: Cross multiply
    411,530.84x = 617,355.40 × 127,243.56
  4. Step 4: Simplify right side
    411,530.84x = 78,554,498,881.22
  5. Step 5: Solve for x
    x = 78,554,498,881.22/411,530.84
  6. Step 6: Final answer
    x = 190,883.63

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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.