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Finding the Fourth Proportional to 407,339.56, 610,863.54 and 141,028.58

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Solution

The fourth proportional to 407,339.56, 610,863.54 and 141,028.58 is: 211,492.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,339.56 : 610,863.54 = 141,028.58 : x
  2. Step 2: Convert to fraction form
    407,339.56/610,863.54 = 141,028.58/x
  3. Step 3: Cross multiply
    407,339.56x = 610,863.54 × 141,028.58
  4. Step 4: Simplify right side
    407,339.56x = 86,149,217,619.97
  5. Step 5: Solve for x
    x = 86,149,217,619.97/407,339.56
  6. Step 6: Final answer
    x = 211,492.39

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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.