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Finding the Fourth Proportional to 504,457.76, 756,689.37 and 149,474.86

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Solution

The fourth proportional to 504,457.76, 756,689.37 and 149,474.86 is: 224,213.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,457.76 : 756,689.37 = 149,474.86 : x
  2. Step 2: Convert to fraction form
    504,457.76/756,689.37 = 149,474.86/x
  3. Step 3: Cross multiply
    504,457.76x = 756,689.37 × 149,474.86
  4. Step 4: Simplify right side
    504,457.76x = 113,106,033,860.79
  5. Step 5: Solve for x
    x = 113,106,033,860.79/504,457.76
  6. Step 6: Final answer
    x = 224,213.09

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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.