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Finding the Fourth Proportional to 456,144, 629,498.16 and 254,940

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Solution

The fourth proportional to 456,144, 629,498.16 and 254,940 is: 351,828.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,144 : 629,498.16 = 254,940 : x
  2. Step 2: Convert to fraction form
    456,144/629,498.16 = 254,940/x
  3. Step 3: Cross multiply
    456,144x = 629,498.16 × 254,940
  4. Step 4: Simplify right side
    456,144x = 160,484,260,910.40
  5. Step 5: Solve for x
    x = 160,484,260,910.40/456,144
  6. Step 6: Final answer
    x = 351,828.07

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