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Finding the Fourth Proportional to 411,294.26, 616,712.16 and 126,904.06

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Solution

The fourth proportional to 411,294.26, 616,712.16 and 126,904.06 is: 190,285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,294.26 : 616,712.16 = 126,904.06 : x
  2. Step 2: Convert to fraction form
    411,294.26/616,712.16 = 126,904.06/x
  3. Step 3: Cross multiply
    411,294.26x = 616,712.16 × 126,904.06
  4. Step 4: Simplify right side
    411,294.26x = 78,263,276,955.37
  5. Step 5: Solve for x
    x = 78,263,276,955.37/411,294.26
  6. Step 6: Final answer
    x = 190,285.36

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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.