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Finding the Fourth Proportional to 468,049.14, 645,907.06 and 253,188.54

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Solution

The fourth proportional to 468,049.14, 645,907.06 and 253,188.54 is: 349,399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,049.14 : 645,907.06 = 253,188.54 : x
  2. Step 2: Convert to fraction form
    468,049.14/645,907.06 = 253,188.54/x
  3. Step 3: Cross multiply
    468,049.14x = 645,907.06 × 253,188.54
  4. Step 4: Simplify right side
    468,049.14x = 163,536,265,497.09
  5. Step 5: Solve for x
    x = 163,536,265,497.09/468,049.14
  6. Step 6: Final answer
    x = 349,399.78

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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.