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Finding the Fourth Proportional to 456,492.30, 684,738.45 and 444,828.30

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Solution

The fourth proportional to 456,492.30, 684,738.45 and 444,828.30 is: 667,242.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,492.30 : 684,738.45 = 444,828.30 : x
  2. Step 2: Convert to fraction form
    456,492.30/684,738.45 = 444,828.30/x
  3. Step 3: Cross multiply
    456,492.30x = 684,738.45 × 444,828.30
  4. Step 4: Simplify right side
    456,492.30x = 304,591,040,658.14
  5. Step 5: Solve for x
    x = 304,591,040,658.14/456,492.30
  6. Step 6: Final answer
    x = 667,242.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.