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Finding the Fourth Proportional to 456,483.54, 629,834.11 and 295,144.46

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Solution

The fourth proportional to 456,483.54, 629,834.11 and 295,144.46 is: 407,226.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,483.54 : 629,834.11 = 295,144.46 : x
  2. Step 2: Convert to fraction form
    456,483.54/629,834.11 = 295,144.46/x
  3. Step 3: Cross multiply
    456,483.54x = 629,834.11 × 295,144.46
  4. Step 4: Simplify right side
    456,483.54x = 185,892,045,505.29
  5. Step 5: Solve for x
    x = 185,892,045,505.29/456,483.54
  6. Step 6: Final answer
    x = 407,226.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.