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Finding the Fourth Proportional to 414,374.16, 621,893.40 and 214,751.62

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Solution

The fourth proportional to 414,374.16, 621,893.40 and 214,751.62 is: 322,299.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,374.16 : 621,893.40 = 214,751.62 : x
  2. Step 2: Convert to fraction form
    414,374.16/621,893.40 = 214,751.62/x
  3. Step 3: Cross multiply
    414,374.16x = 621,893.40 × 214,751.62
  4. Step 4: Simplify right side
    414,374.16x = 133,552,615,089.36
  5. Step 5: Solve for x
    x = 133,552,615,089.36/414,374.16
  6. Step 6: Final answer
    x = 322,299.57

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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.