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Finding the Fourth Proportional to 414,291.72, 621,043.86 and 264,110.52

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Solution

The fourth proportional to 414,291.72, 621,043.86 and 264,110.52 is: 395,914.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,291.72 : 621,043.86 = 264,110.52 : x
  2. Step 2: Convert to fraction form
    414,291.72/621,043.86 = 264,110.52/x
  3. Step 3: Cross multiply
    414,291.72x = 621,043.86 × 264,110.52
  4. Step 4: Simplify right side
    414,291.72x = 164,024,216,807.41
  5. Step 5: Solve for x
    x = 164,024,216,807.41/414,291.72
  6. Step 6: Final answer
    x = 395,914.78

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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.