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Finding the Fourth Proportional to 411,295.26, 616,713.65 and 126,905.08

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Solution

The fourth proportional to 411,295.26, 616,713.65 and 126,905.08 is: 190,286.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,295.26 : 616,713.65 = 126,905.08 : x
  2. Step 2: Convert to fraction form
    411,295.26/616,713.65 = 126,905.08/x
  3. Step 3: Cross multiply
    411,295.26x = 616,713.65 × 126,905.08
  4. Step 4: Simplify right side
    411,295.26x = 78,264,095,090.34
  5. Step 5: Solve for x
    x = 78,264,095,090.34/411,295.26
  6. Step 6: Final answer
    x = 190,286.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.