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Finding the Fourth Proportional to 504,297.42, 756,448.56 and 149,318.16

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Solution

The fourth proportional to 504,297.42, 756,448.56 and 149,318.16 is: 223,977.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,297.42 : 756,448.56 = 149,318.16 : x
  2. Step 2: Convert to fraction form
    504,297.42/756,448.56 = 149,318.16/x
  3. Step 3: Cross multiply
    504,297.42x = 756,448.56 × 149,318.16
  4. Step 4: Simplify right side
    504,297.42x = 112,951,507,113.85
  5. Step 5: Solve for x
    x = 112,951,507,113.85/504,297.42
  6. Step 6: Final answer
    x = 223,977.96

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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.