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Finding the Fourth Proportional to 457,796.12, 686,627.32 and 133,497.07

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Solution

The fourth proportional to 457,796.12, 686,627.32 and 133,497.07 is: 200,226.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,796.12 : 686,627.32 = 133,497.07 : x
  2. Step 2: Convert to fraction form
    457,796.12/686,627.32 = 133,497.07/x
  3. Step 3: Cross multiply
    457,796.12x = 686,627.32 × 133,497.07
  4. Step 4: Simplify right side
    457,796.12x = 91,662,734,388.76
  5. Step 5: Solve for x
    x = 91,662,734,388.76/457,796.12
  6. Step 6: Final answer
    x = 200,226.11

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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.