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Finding the Fourth Proportional to 447,900, 671,919.12 and 167,457.12

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Solution

The fourth proportional to 447,900, 671,919.12 and 167,457.12 is: 251,211.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,900 : 671,919.12 = 167,457.12 : x
  2. Step 2: Convert to fraction form
    447,900/671,919.12 = 167,457.12/x
  3. Step 3: Cross multiply
    447,900x = 671,919.12 × 167,457.12
  4. Step 4: Simplify right side
    447,900x = 112,517,640,708.13
  5. Step 5: Solve for x
    x = 112,517,640,708.13/447,900
  6. Step 6: Final answer
    x = 251,211.52

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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.