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Finding the Fourth Proportional to 411,959.90, 617,714.08 and 127,571.50

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Solution

The fourth proportional to 411,959.90, 617,714.08 and 127,571.50 is: 191,287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,959.90 : 617,714.08 = 127,571.50 : x
  2. Step 2: Convert to fraction form
    411,959.90/617,714.08 = 127,571.50/x
  3. Step 3: Cross multiply
    411,959.90x = 617,714.08 × 127,571.50
  4. Step 4: Simplify right side
    411,959.90x = 78,802,708,349.22
  5. Step 5: Solve for x
    x = 78,802,708,349.22/411,959.90
  6. Step 6: Final answer
    x = 191,287.33

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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.