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Finding the Fourth Proportional to 504,457.51, 756,689 and 149,474.60

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Solution

The fourth proportional to 504,457.51, 756,689 and 149,474.60 is: 224,212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,457.51 : 756,689 = 149,474.60 : x
  2. Step 2: Convert to fraction form
    504,457.51/756,689 = 149,474.60/x
  3. Step 3: Cross multiply
    504,457.51x = 756,689 × 149,474.60
  4. Step 4: Simplify right side
    504,457.51x = 113,105,785,599.40
  5. Step 5: Solve for x
    x = 113,105,785,599.40/504,457.51
  6. Step 6: Final answer
    x = 224,212.71

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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.