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Finding the Fourth Proportional to 457,361.34, 631,205.38 and 263,776.62

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Solution

The fourth proportional to 457,361.34, 631,205.38 and 263,776.62 is: 364,038.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,361.34 : 631,205.38 = 263,776.62 : x
  2. Step 2: Convert to fraction form
    457,361.34/631,205.38 = 263,776.62/x
  3. Step 3: Cross multiply
    457,361.34x = 631,205.38 × 263,776.62
  4. Step 4: Simplify right side
    457,361.34x = 166,497,221,662.22
  5. Step 5: Solve for x
    x = 166,497,221,662.22/457,361.34
  6. Step 6: Final answer
    x = 364,038.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.