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Finding the Fourth Proportional to 411,065.28, 616,599.36 and 115,577.28

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Solution

The fourth proportional to 411,065.28, 616,599.36 and 115,577.28 is: 173,366.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,065.28 : 616,599.36 = 115,577.28 : x
  2. Step 2: Convert to fraction form
    411,065.28/616,599.36 = 115,577.28/x
  3. Step 3: Cross multiply
    411,065.28x = 616,599.36 × 115,577.28
  4. Step 4: Simplify right side
    411,065.28x = 71,264,876,878.54
  5. Step 5: Solve for x
    x = 71,264,876,878.54/411,065.28
  6. Step 6: Final answer
    x = 173,366.32

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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.