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Finding the Fourth Proportional to 507,046.64, 760,520.44 and 133,069.64

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Solution

The fourth proportional to 507,046.64, 760,520.44 and 133,069.64 is: 199,591.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,046.64 : 760,520.44 = 133,069.64 : x
  2. Step 2: Convert to fraction form
    507,046.64/760,520.44 = 133,069.64/x
  3. Step 3: Cross multiply
    507,046.64x = 760,520.44 × 133,069.64
  4. Step 4: Simplify right side
    507,046.64x = 101,202,177,527.18
  5. Step 5: Solve for x
    x = 101,202,177,527.18/507,046.64
  6. Step 6: Final answer
    x = 199,591.46

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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.