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Finding the Fourth Proportional to 407,033.58, 610,579.53 and 107,511.18

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Solution

The fourth proportional to 407,033.58, 610,579.53 and 107,511.18 is: 161,274.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,033.58 : 610,579.53 = 107,511.18 : x
  2. Step 2: Convert to fraction form
    407,033.58/610,579.53 = 107,511.18/x
  3. Step 3: Cross multiply
    407,033.58x = 610,579.53 × 107,511.18
  4. Step 4: Simplify right side
    407,033.58x = 65,644,125,754.15
  5. Step 5: Solve for x
    x = 65,644,125,754.15/407,033.58
  6. Step 6: Final answer
    x = 161,274.47

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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.