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Finding the Fourth Proportional to 414,218.48, 620,933.70 and 264,037.10

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Solution

The fourth proportional to 414,218.48, 620,933.70 and 264,037.10 is: 395,804.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,218.48 : 620,933.70 = 264,037.10 : x
  2. Step 2: Convert to fraction form
    414,218.48/620,933.70 = 264,037.10/x
  3. Step 3: Cross multiply
    414,218.48x = 620,933.70 × 264,037.10
  4. Step 4: Simplify right side
    414,218.48x = 163,949,533,440.27
  5. Step 5: Solve for x
    x = 163,949,533,440.27/414,218.48
  6. Step 6: Final answer
    x = 395,804.49

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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.