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Finding the Fourth Proportional to 504,490.06, 756,737.79 and 149,507.16

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Solution

The fourth proportional to 504,490.06, 756,737.79 and 149,507.16 is: 224,261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,490.06 : 756,737.79 = 149,507.16 : x
  2. Step 2: Convert to fraction form
    504,490.06/756,737.79 = 149,507.16/x
  3. Step 3: Cross multiply
    504,490.06x = 756,737.79 × 149,507.16
  4. Step 4: Simplify right side
    504,490.06x = 113,137,717,847.58
  5. Step 5: Solve for x
    x = 113,137,717,847.58/504,490.06
  6. Step 6: Final answer
    x = 224,261.54

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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.