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Finding the Fourth Proportional to 407,112.14, 610,099.32 and 346,826.54

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Solution

The fourth proportional to 407,112.14, 610,099.32 and 346,826.54 is: 519,755.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,112.14 : 610,099.32 = 346,826.54 : x
  2. Step 2: Convert to fraction form
    407,112.14/610,099.32 = 346,826.54/x
  3. Step 3: Cross multiply
    407,112.14x = 610,099.32 × 346,826.54
  4. Step 4: Simplify right side
    407,112.14x = 211,598,636,211.95
  5. Step 5: Solve for x
    x = 211,598,636,211.95/407,112.14
  6. Step 6: Final answer
    x = 519,755.16

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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.