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Finding the Fourth Proportional to 411,280.13, 616,690.97 and 126,889.94

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Solution

The fourth proportional to 411,280.13, 616,690.97 and 126,889.94 is: 190,264.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,280.13 : 616,690.97 = 126,889.94 : x
  2. Step 2: Convert to fraction form
    411,280.13/616,690.97 = 126,889.94/x
  3. Step 3: Cross multiply
    411,280.13x = 616,690.97 × 126,889.94
  4. Step 4: Simplify right side
    411,280.13x = 78,251,881,564.96
  5. Step 5: Solve for x
    x = 78,251,881,564.96/411,280.13
  6. Step 6: Final answer
    x = 190,264.19

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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.