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Finding the Fourth Proportional to 454,715.83, 681,799 and 181,204.10

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Solution

The fourth proportional to 454,715.83, 681,799 and 181,204.10 is: 271,696.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,715.83 : 681,799 = 181,204.10 : x
  2. Step 2: Convert to fraction form
    454,715.83/681,799 = 181,204.10/x
  3. Step 3: Cross multiply
    454,715.83x = 681,799 × 181,204.10
  4. Step 4: Simplify right side
    454,715.83x = 123,544,774,175.90
  5. Step 5: Solve for x
    x = 123,544,774,175.90/454,715.83
  6. Step 6: Final answer
    x = 271,696.67

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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.