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Finding the Fourth Proportional to 414,190.32, 620,374.82 and 342,298.16

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Solution

The fourth proportional to 414,190.32, 620,374.82 and 342,298.16 is: 512,694.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,190.32 : 620,374.82 = 342,298.16 : x
  2. Step 2: Convert to fraction form
    414,190.32/620,374.82 = 342,298.16/x
  3. Step 3: Cross multiply
    414,190.32x = 620,374.82 × 342,298.16
  4. Step 4: Simplify right side
    414,190.32x = 212,353,159,396.33
  5. Step 5: Solve for x
    x = 212,353,159,396.33/414,190.32
  6. Step 6: Final answer
    x = 512,694.65

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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.